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Finding the Third Proportional to 280,252.13 and 613,107

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Solution

The third proportional to 280,252.13 and 613,107 is: 1,341,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,252.13 : 613,107 = 613,107 : x
  2. Step 2: Convert to fraction form
    280,252.13/613,107 = 613,107/x
  3. Step 3: Cross multiply
    280,252.13x = 613,107 × 613,107
  4. Step 4: Simplify right side
    280,252.13x = 375,900,193,449
  5. Step 5: Solve for x
    x = 375,900,193,449/280,252.13
  6. Step 6: Final answer
    x = 1,341,292.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.