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Finding the Third Proportional to 132,440.06 and 288,526.22

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Solution

The third proportional to 132,440.06 and 288,526.22 is: 628,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,440.06 : 288,526.22 = 288,526.22 : x
  2. Step 2: Convert to fraction form
    132,440.06/288,526.22 = 288,526.22/x
  3. Step 3: Cross multiply
    132,440.06x = 288,526.22 × 288,526.22
  4. Step 4: Simplify right side
    132,440.06x = 83,247,378,906.17
  5. Step 5: Solve for x
    x = 83,247,378,906.17/132,440.06
  6. Step 6: Final answer
    x = 628,566.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.