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Finding the Third Proportional to 163,810.50 and 350,392.50

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Solution

The third proportional to 163,810.50 and 350,392.50 is: 749,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,810.50 : 350,392.50 = 350,392.50 : x
  2. Step 2: Convert to fraction form
    163,810.50/350,392.50 = 350,392.50/x
  3. Step 3: Cross multiply
    163,810.50x = 350,392.50 × 350,392.50
  4. Step 4: Simplify right side
    163,810.50x = 122,774,904,056.25
  5. Step 5: Solve for x
    x = 122,774,904,056.25/163,810.50
  6. Step 6: Final answer
    x = 749,493.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.