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Finding the Third Proportional to 147,294 and 323,262

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Solution

The third proportional to 147,294 and 323,262 is: 709,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,294 : 323,262 = 323,262 : x
  2. Step 2: Convert to fraction form
    147,294/323,262 = 323,262/x
  3. Step 3: Cross multiply
    147,294x = 323,262 × 323,262
  4. Step 4: Simplify right side
    147,294x = 104,498,320,644
  5. Step 5: Solve for x
    x = 104,498,320,644/147,294
  6. Step 6: Final answer
    x = 709,454.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.