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Finding the Third Proportional to 138,564 and 223,146

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Solution

The third proportional to 138,564 and 223,146 is: 359,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,564 : 223,146 = 223,146 : x
  2. Step 2: Convert to fraction form
    138,564/223,146 = 223,146/x
  3. Step 3: Cross multiply
    138,564x = 223,146 × 223,146
  4. Step 4: Simplify right side
    138,564x = 49,794,137,316
  5. Step 5: Solve for x
    x = 49,794,137,316/138,564
  6. Step 6: Final answer
    x = 359,358.40

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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.