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Finding the Third Proportional to 136,506 and 206,670

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Solution

The third proportional to 136,506 and 206,670 is: 312,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,506 : 206,670 = 206,670 : x
  2. Step 2: Convert to fraction form
    136,506/206,670 = 206,670/x
  3. Step 3: Cross multiply
    136,506x = 206,670 × 206,670
  4. Step 4: Simplify right side
    136,506x = 42,712,488,900
  5. Step 5: Solve for x
    x = 42,712,488,900/136,506
  6. Step 6: Final answer
    x = 312,898.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.