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Finding the Third Proportional to 138,594 and 223,203

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Solution

The third proportional to 138,594 and 223,203 is: 359,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,594 : 223,203 = 223,203 : x
  2. Step 2: Convert to fraction form
    138,594/223,203 = 223,203/x
  3. Step 3: Cross multiply
    138,594x = 223,203 × 223,203
  4. Step 4: Simplify right side
    138,594x = 49,819,579,209
  5. Step 5: Solve for x
    x = 49,819,579,209/138,594
  6. Step 6: Final answer
    x = 359,464.18

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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.