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Finding the Third Proportional to 152,417 and 226,418

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Solution

The third proportional to 152,417 and 226,418 is: 336,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,417 : 226,418 = 226,418 : x
  2. Step 2: Convert to fraction form
    152,417/226,418 = 226,418/x
  3. Step 3: Cross multiply
    152,417x = 226,418 × 226,418
  4. Step 4: Simplify right side
    152,417x = 51,265,110,724
  5. Step 5: Solve for x
    x = 51,265,110,724/152,417
  6. Step 6: Final answer
    x = 336,347.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.