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Finding the Third Proportional to 157,484 and 237,416

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Solution

The third proportional to 157,484 and 237,416 is: 357,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,484 : 237,416 = 237,416 : x
  2. Step 2: Convert to fraction form
    157,484/237,416 = 237,416/x
  3. Step 3: Cross multiply
    157,484x = 237,416 × 237,416
  4. Step 4: Simplify right side
    157,484x = 56,366,357,056
  5. Step 5: Solve for x
    x = 56,366,357,056/157,484
  6. Step 6: Final answer
    x = 357,917.99

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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.