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Finding the Third Proportional to 119,952 and 258,624

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Solution

The third proportional to 119,952 and 258,624 is: 557,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,952 : 258,624 = 258,624 : x
  2. Step 2: Convert to fraction form
    119,952/258,624 = 258,624/x
  3. Step 3: Cross multiply
    119,952x = 258,624 × 258,624
  4. Step 4: Simplify right side
    119,952x = 66,886,373,376
  5. Step 5: Solve for x
    x = 66,886,373,376/119,952
  6. Step 6: Final answer
    x = 557,609.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.