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Finding the Third Proportional to 175,840.50 and 272,104.50

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Solution

The third proportional to 175,840.50 and 272,104.50 is: 421,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,840.50 : 272,104.50 = 272,104.50 : x
  2. Step 2: Convert to fraction form
    175,840.50/272,104.50 = 272,104.50/x
  3. Step 3: Cross multiply
    175,840.50x = 272,104.50 × 272,104.50
  4. Step 4: Simplify right side
    175,840.50x = 74,040,858,920.25
  5. Step 5: Solve for x
    x = 74,040,858,920.25/175,840.50
  6. Step 6: Final answer
    x = 421,068.29

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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.