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Finding the Third Proportional to 175,422 and 272,121

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Solution

The third proportional to 175,422 and 272,121 is: 422,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,422 : 272,121 = 272,121 : x
  2. Step 2: Convert to fraction form
    175,422/272,121 = 272,121/x
  3. Step 3: Cross multiply
    175,422x = 272,121 × 272,121
  4. Step 4: Simplify right side
    175,422x = 74,049,838,641
  5. Step 5: Solve for x
    x = 74,049,838,641/175,422
  6. Step 6: Final answer
    x = 422,124.01

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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.