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Finding the Third Proportional to 157,737.50 and 238,487

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Solution

The third proportional to 157,737.50 and 238,487 is: 360,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,737.50 : 238,487 = 238,487 : x
  2. Step 2: Convert to fraction form
    157,737.50/238,487 = 238,487/x
  3. Step 3: Cross multiply
    157,737.50x = 238,487 × 238,487
  4. Step 4: Simplify right side
    157,737.50x = 56,876,049,169
  5. Step 5: Solve for x
    x = 56,876,049,169/157,737.50
  6. Step 6: Final answer
    x = 360,574.05

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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.