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Finding the Third Proportional to 152,590.08 and 331,450.10

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Solution

The third proportional to 152,590.08 and 331,450.10 is: 719,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,590.08 : 331,450.10 = 331,450.10 : x
  2. Step 2: Convert to fraction form
    152,590.08/331,450.10 = 331,450.10/x
  3. Step 3: Cross multiply
    152,590.08x = 331,450.10 × 331,450.10
  4. Step 4: Simplify right side
    152,590.08x = 109,859,169,825.79
  5. Step 5: Solve for x
    x = 109,859,169,825.79/152,590.08
  6. Step 6: Final answer
    x = 719,962.73

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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.