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Finding the Third Proportional to 152,988 and 215,059

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Solution

The third proportional to 152,988 and 215,059 is: 302,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988 : 215,059 = 215,059 : x
  2. Step 2: Convert to fraction form
    152,988/215,059 = 215,059/x
  3. Step 3: Cross multiply
    152,988x = 215,059 × 215,059
  4. Step 4: Simplify right side
    152,988x = 46,250,373,481
  5. Step 5: Solve for x
    x = 46,250,373,481/152,988
  6. Step 6: Final answer
    x = 302,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.