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Finding the Third Proportional to 152,590.88 and 331,451.06

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Solution

The third proportional to 152,590.88 and 331,451.06 is: 719,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,590.88 : 331,451.06 = 331,451.06 : x
  2. Step 2: Convert to fraction form
    152,590.88/331,451.06 = 331,451.06/x
  3. Step 3: Cross multiply
    152,590.88x = 331,451.06 × 331,451.06
  4. Step 4: Simplify right side
    152,590.88x = 109,859,806,832.38
  5. Step 5: Solve for x
    x = 109,859,806,832.38/152,590.88
  6. Step 6: Final answer
    x = 719,963.15

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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.