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Finding the Third Proportional to 152,452.13 and 330,738.19

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Solution

The third proportional to 152,452.13 and 330,738.19 is: 717,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,452.13 : 330,738.19 = 330,738.19 : x
  2. Step 2: Convert to fraction form
    152,452.13/330,738.19 = 330,738.19/x
  3. Step 3: Cross multiply
    152,452.13x = 330,738.19 × 330,738.19
  4. Step 4: Simplify right side
    152,452.13x = 109,387,748,670.79
  5. Step 5: Solve for x
    x = 109,387,748,670.79/152,452.13
  6. Step 6: Final answer
    x = 717,521.97

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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.