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Finding the Third Proportional to 132,063.75 and 278,707.50

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Solution

The third proportional to 132,063.75 and 278,707.50 is: 588,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,063.75 : 278,707.50 = 278,707.50 : x
  2. Step 2: Convert to fraction form
    132,063.75/278,707.50 = 278,707.50/x
  3. Step 3: Cross multiply
    132,063.75x = 278,707.50 × 278,707.50
  4. Step 4: Simplify right side
    132,063.75x = 77,677,870,556.25
  5. Step 5: Solve for x
    x = 77,677,870,556.25/132,063.75
  6. Step 6: Final answer
    x = 588,184.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.