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Finding the Third Proportional to 162,522 and 215,703

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Solution

The third proportional to 162,522 and 215,703 is: 286,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,522 : 215,703 = 215,703 : x
  2. Step 2: Convert to fraction form
    162,522/215,703 = 215,703/x
  3. Step 3: Cross multiply
    162,522x = 215,703 × 215,703
  4. Step 4: Simplify right side
    162,522x = 46,527,784,209
  5. Step 5: Solve for x
    x = 46,527,784,209/162,522
  6. Step 6: Final answer
    x = 286,286.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.