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Finding the Third Proportional to 133,714 and 282,452

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Solution

The third proportional to 133,714 and 282,452 is: 596,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714 : 282,452 = 282,452 : x
  2. Step 2: Convert to fraction form
    133,714/282,452 = 282,452/x
  3. Step 3: Cross multiply
    133,714x = 282,452 × 282,452
  4. Step 4: Simplify right side
    133,714x = 79,779,132,304
  5. Step 5: Solve for x
    x = 79,779,132,304/133,714
  6. Step 6: Final answer
    x = 596,640.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.