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Finding the Third Proportional to 180,459.56 and 252,301.50

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Solution

The third proportional to 180,459.56 and 252,301.50 is: 352,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,459.56 : 252,301.50 = 252,301.50 : x
  2. Step 2: Convert to fraction form
    180,459.56/252,301.50 = 252,301.50/x
  3. Step 3: Cross multiply
    180,459.56x = 252,301.50 × 252,301.50
  4. Step 4: Simplify right side
    180,459.56x = 63,656,046,902.25
  5. Step 5: Solve for x
    x = 63,656,046,902.25/180,459.56
  6. Step 6: Final answer
    x = 352,744.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.