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Finding the Third Proportional to 156,471.75 and 337,888.13

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Solution

The third proportional to 156,471.75 and 337,888.13 is: 729,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,471.75 : 337,888.13 = 337,888.13 : x
  2. Step 2: Convert to fraction form
    156,471.75/337,888.13 = 337,888.13/x
  3. Step 3: Cross multiply
    156,471.75x = 337,888.13 × 337,888.13
  4. Step 4: Simplify right side
    156,471.75x = 114,168,385,016.02
  5. Step 5: Solve for x
    x = 114,168,385,016.02/156,471.75
  6. Step 6: Final answer
    x = 729,642.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.