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Finding the Third Proportional to 147,332 and 226,596

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Solution

The third proportional to 147,332 and 226,596 is: 348,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,332 : 226,596 = 226,596 : x
  2. Step 2: Convert to fraction form
    147,332/226,596 = 226,596/x
  3. Step 3: Cross multiply
    147,332x = 226,596 × 226,596
  4. Step 4: Simplify right side
    147,332x = 51,345,747,216
  5. Step 5: Solve for x
    x = 51,345,747,216/147,332
  6. Step 6: Final answer
    x = 348,503.70

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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.