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Finding the Third Proportional to 83,458 and 180,267.50

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Solution

The third proportional to 83,458 and 180,267.50 is: 389,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,458 : 180,267.50 = 180,267.50 : x
  2. Step 2: Convert to fraction form
    83,458/180,267.50 = 180,267.50/x
  3. Step 3: Cross multiply
    83,458x = 180,267.50 × 180,267.50
  4. Step 4: Simplify right side
    83,458x = 32,496,371,556.25
  5. Step 5: Solve for x
    x = 32,496,371,556.25/83,458
  6. Step 6: Final answer
    x = 389,373.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.