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Finding the Third Proportional to 169,614 and 224,266.22

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Solution

The third proportional to 169,614 and 224,266.22 is: 296,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,614 : 224,266.22 = 224,266.22 : x
  2. Step 2: Convert to fraction form
    169,614/224,266.22 = 224,266.22/x
  3. Step 3: Cross multiply
    169,614x = 224,266.22 × 224,266.22
  4. Step 4: Simplify right side
    169,614x = 50,295,336,872.42
  5. Step 5: Solve for x
    x = 50,295,336,872.42/169,614
  6. Step 6: Final answer
    x = 296,528.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.