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Finding the Third Proportional to 153,704 and 240,591

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Solution

The third proportional to 153,704 and 240,591 is: 376,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704 : 240,591 = 240,591 : x
  2. Step 2: Convert to fraction form
    153,704/240,591 = 240,591/x
  3. Step 3: Cross multiply
    153,704x = 240,591 × 240,591
  4. Step 4: Simplify right side
    153,704x = 57,884,029,281
  5. Step 5: Solve for x
    x = 57,884,029,281/153,704
  6. Step 6: Final answer
    x = 376,594.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.