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Finding the Third Proportional to 153,620 and 238,422

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Solution

The third proportional to 153,620 and 238,422 is: 370,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,620 : 238,422 = 238,422 : x
  2. Step 2: Convert to fraction form
    153,620/238,422 = 238,422/x
  3. Step 3: Cross multiply
    153,620x = 238,422 × 238,422
  4. Step 4: Simplify right side
    153,620x = 56,845,050,084
  5. Step 5: Solve for x
    x = 56,845,050,084/153,620
  6. Step 6: Final answer
    x = 370,036.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.