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Finding the Third Proportional to 147,464 and 226,792

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Solution

The third proportional to 147,464 and 226,792 is: 348,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,464 : 226,792 = 226,792 : x
  2. Step 2: Convert to fraction form
    147,464/226,792 = 226,792/x
  3. Step 3: Cross multiply
    147,464x = 226,792 × 226,792
  4. Step 4: Simplify right side
    147,464x = 51,434,611,264
  5. Step 5: Solve for x
    x = 51,434,611,264/147,464
  6. Step 6: Final answer
    x = 348,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.