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Finding the Third Proportional to 144,624 and 296,294

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Solution

The third proportional to 144,624 and 296,294 is: 607,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,624 : 296,294 = 296,294 : x
  2. Step 2: Convert to fraction form
    144,624/296,294 = 296,294/x
  3. Step 3: Cross multiply
    144,624x = 296,294 × 296,294
  4. Step 4: Simplify right side
    144,624x = 87,790,134,436
  5. Step 5: Solve for x
    x = 87,790,134,436/144,624
  6. Step 6: Final answer
    x = 607,023.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.