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Finding the Third Proportional to 175,810.50 and 272,403

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Solution

The third proportional to 175,810.50 and 272,403 is: 422,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,810.50 : 272,403 = 272,403 : x
  2. Step 2: Convert to fraction form
    175,810.50/272,403 = 272,403/x
  3. Step 3: Cross multiply
    175,810.50x = 272,403 × 272,403
  4. Step 4: Simplify right side
    175,810.50x = 74,203,394,409
  5. Step 5: Solve for x
    x = 74,203,394,409/175,810.50
  6. Step 6: Final answer
    x = 422,064.63

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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.