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Finding the Third Proportional to 112,566 and 237,792

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Solution

The third proportional to 112,566 and 237,792 is: 502,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,566 : 237,792 = 237,792 : x
  2. Step 2: Convert to fraction form
    112,566/237,792 = 237,792/x
  3. Step 3: Cross multiply
    112,566x = 237,792 × 237,792
  4. Step 4: Simplify right side
    112,566x = 56,545,035,264
  5. Step 5: Solve for x
    x = 56,545,035,264/112,566
  6. Step 6: Final answer
    x = 502,327.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.