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Finding the Third Proportional to 152,981 and 215,050

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Solution

The third proportional to 152,981 and 215,050 is: 302,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,981 : 215,050 = 215,050 : x
  2. Step 2: Convert to fraction form
    152,981/215,050 = 215,050/x
  3. Step 3: Cross multiply
    152,981x = 215,050 × 215,050
  4. Step 4: Simplify right side
    152,981x = 46,246,502,500
  5. Step 5: Solve for x
    x = 46,246,502,500/152,981
  6. Step 6: Final answer
    x = 302,302.26

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