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Finding the Third Proportional to 163,473 and 351,991.50

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Solution

The third proportional to 163,473 and 351,991.50 is: 757,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,473 : 351,991.50 = 351,991.50 : x
  2. Step 2: Convert to fraction form
    163,473/351,991.50 = 351,991.50/x
  3. Step 3: Cross multiply
    163,473x = 351,991.50 × 351,991.50
  4. Step 4: Simplify right side
    163,473x = 123,898,016,072.25
  5. Step 5: Solve for x
    x = 123,898,016,072.25/163,473
  6. Step 6: Final answer
    x = 757,911.19

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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.