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Finding the Third Proportional to 138,577.50 and 223,180.50

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Solution

The third proportional to 138,577.50 and 223,180.50 is: 359,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,577.50 : 223,180.50 = 223,180.50 : x
  2. Step 2: Convert to fraction form
    138,577.50/223,180.50 = 223,180.50/x
  3. Step 3: Cross multiply
    138,577.50x = 223,180.50 × 223,180.50
  4. Step 4: Simplify right side
    138,577.50x = 49,809,535,580.25
  5. Step 5: Solve for x
    x = 49,809,535,580.25/138,577.50
  6. Step 6: Final answer
    x = 359,434.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.