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Finding the Third Proportional to 157,470.75 and 237,016.13

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Solution

The third proportional to 157,470.75 and 237,016.13 is: 356,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,470.75 : 237,016.13 = 237,016.13 : x
  2. Step 2: Convert to fraction form
    157,470.75/237,016.13 = 237,016.13/x
  3. Step 3: Cross multiply
    157,470.75x = 237,016.13 × 237,016.13
  4. Step 4: Simplify right side
    157,470.75x = 56,176,643,510.02
  5. Step 5: Solve for x
    x = 56,176,643,510.02/157,470.75
  6. Step 6: Final answer
    x = 356,743.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.