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Finding the Third Proportional to 147,332 and 225,284

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Solution

The third proportional to 147,332 and 225,284 is: 344,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,332 : 225,284 = 225,284 : x
  2. Step 2: Convert to fraction form
    147,332/225,284 = 225,284/x
  3. Step 3: Cross multiply
    147,332x = 225,284 × 225,284
  4. Step 4: Simplify right side
    147,332x = 50,752,880,656
  5. Step 5: Solve for x
    x = 50,752,880,656/147,332
  6. Step 6: Final answer
    x = 344,479.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.