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Finding the Third Proportional to 153,589 and 240,416

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Solution

The third proportional to 153,589 and 240,416 is: 376,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,589 : 240,416 = 240,416 : x
  2. Step 2: Convert to fraction form
    153,589/240,416 = 240,416/x
  3. Step 3: Cross multiply
    153,589x = 240,416 × 240,416
  4. Step 4: Simplify right side
    153,589x = 57,799,853,056
  5. Step 5: Solve for x
    x = 57,799,853,056/153,589
  6. Step 6: Final answer
    x = 376,328.08

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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.