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Finding the Third Proportional to 86,780.50 and 180,473

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Solution

The third proportional to 86,780.50 and 180,473 is: 375,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,780.50 : 180,473 = 180,473 : x
  2. Step 2: Convert to fraction form
    86,780.50/180,473 = 180,473/x
  3. Step 3: Cross multiply
    86,780.50x = 180,473 × 180,473
  4. Step 4: Simplify right side
    86,780.50x = 32,570,503,729
  5. Step 5: Solve for x
    x = 32,570,503,729/86,780.50
  6. Step 6: Final answer
    x = 375,320.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.