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Finding the Third Proportional to 175,830 and 272,664

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Solution

The third proportional to 175,830 and 272,664 is: 422,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,830 : 272,664 = 272,664 : x
  2. Step 2: Convert to fraction form
    175,830/272,664 = 272,664/x
  3. Step 3: Cross multiply
    175,830x = 272,664 × 272,664
  4. Step 4: Simplify right side
    175,830x = 74,345,656,896
  5. Step 5: Solve for x
    x = 74,345,656,896/175,830
  6. Step 6: Final answer
    x = 422,826.92

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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.