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Finding the Third Proportional to 133,645.50 and 288,184.50

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Solution

The third proportional to 133,645.50 and 288,184.50 is: 621,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,645.50 : 288,184.50 = 288,184.50 : x
  2. Step 2: Convert to fraction form
    133,645.50/288,184.50 = 288,184.50/x
  3. Step 3: Cross multiply
    133,645.50x = 288,184.50 × 288,184.50
  4. Step 4: Simplify right side
    133,645.50x = 83,050,306,040.25
  5. Step 5: Solve for x
    x = 83,050,306,040.25/133,645.50
  6. Step 6: Final answer
    x = 621,422.39

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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.