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Finding the Third Proportional to 160,422 and 183,750

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Solution

The third proportional to 160,422 and 183,750 is: 210,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,422 : 183,750 = 183,750 : x
  2. Step 2: Convert to fraction form
    160,422/183,750 = 183,750/x
  3. Step 3: Cross multiply
    160,422x = 183,750 × 183,750
  4. Step 4: Simplify right side
    160,422x = 33,764,062,500
  5. Step 5: Solve for x
    x = 33,764,062,500/160,422
  6. Step 6: Final answer
    x = 210,470.28

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.