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Finding the Third Proportional to 162,952 and 353,552

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Solution

The third proportional to 162,952 and 353,552 is: 767,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,952 : 353,552 = 353,552 : x
  2. Step 2: Convert to fraction form
    162,952/353,552 = 353,552/x
  3. Step 3: Cross multiply
    162,952x = 353,552 × 353,552
  4. Step 4: Simplify right side
    162,952x = 124,999,016,704
  5. Step 5: Solve for x
    x = 124,999,016,704/162,952
  6. Step 6: Final answer
    x = 767,091.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.