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Finding the Third Proportional to 153,890 and 240,555

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Solution

The third proportional to 153,890 and 240,555 is: 376,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,890 : 240,555 = 240,555 : x
  2. Step 2: Convert to fraction form
    153,890/240,555 = 240,555/x
  3. Step 3: Cross multiply
    153,890x = 240,555 × 240,555
  4. Step 4: Simplify right side
    153,890x = 57,866,708,025
  5. Step 5: Solve for x
    x = 57,866,708,025/153,890
  6. Step 6: Final answer
    x = 376,026.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.