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Finding the Third Proportional to 163,323.84 and 351,679.22

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Solution

The third proportional to 163,323.84 and 351,679.22 is: 757,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,323.84 : 351,679.22 = 351,679.22 : x
  2. Step 2: Convert to fraction form
    163,323.84/351,679.22 = 351,679.22/x
  3. Step 3: Cross multiply
    163,323.84x = 351,679.22 × 351,679.22
  4. Step 4: Simplify right side
    163,323.84x = 123,678,272,900.61
  5. Step 5: Solve for x
    x = 123,678,272,900.61/163,323.84
  6. Step 6: Final answer
    x = 757,257.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.