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Finding the Third Proportional to 157,350.50 and 237,331

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Solution

The third proportional to 157,350.50 and 237,331 is: 357,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,350.50 : 237,331 = 237,331 : x
  2. Step 2: Convert to fraction form
    157,350.50/237,331 = 237,331/x
  3. Step 3: Cross multiply
    157,350.50x = 237,331 × 237,331
  4. Step 4: Simplify right side
    157,350.50x = 56,326,003,561
  5. Step 5: Solve for x
    x = 56,326,003,561/157,350.50
  6. Step 6: Final answer
    x = 357,965.20

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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.