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Finding the Third Proportional to 156,988 and 335,524

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Solution

The third proportional to 156,988 and 335,524 is: 717,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988 : 335,524 = 335,524 : x
  2. Step 2: Convert to fraction form
    156,988/335,524 = 335,524/x
  3. Step 3: Cross multiply
    156,988x = 335,524 × 335,524
  4. Step 4: Simplify right side
    156,988x = 112,576,354,576
  5. Step 5: Solve for x
    x = 112,576,354,576/156,988
  6. Step 6: Final answer
    x = 717,101.65

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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.