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Finding the Third Proportional to 153,655 and 241,040

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Solution

The third proportional to 153,655 and 241,040 is: 378,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,655 : 241,040 = 241,040 : x
  2. Step 2: Convert to fraction form
    153,655/241,040 = 241,040/x
  3. Step 3: Cross multiply
    153,655x = 241,040 × 241,040
  4. Step 4: Simplify right side
    153,655x = 58,100,281,600
  5. Step 5: Solve for x
    x = 58,100,281,600/153,655
  6. Step 6: Final answer
    x = 378,121.65

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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.