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Finding the Third Proportional to 156,646 and 335,452

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Solution

The third proportional to 156,646 and 335,452 is: 718,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646 : 335,452 = 335,452 : x
  2. Step 2: Convert to fraction form
    156,646/335,452 = 335,452/x
  3. Step 3: Cross multiply
    156,646x = 335,452 × 335,452
  4. Step 4: Simplify right side
    156,646x = 112,528,044,304
  5. Step 5: Solve for x
    x = 112,528,044,304/156,646
  6. Step 6: Final answer
    x = 718,358.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.