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Finding the Third Proportional to 138,034 and 293,564

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Solution

The third proportional to 138,034 and 293,564 is: 624,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,034 : 293,564 = 293,564 : x
  2. Step 2: Convert to fraction form
    138,034/293,564 = 293,564/x
  3. Step 3: Cross multiply
    138,034x = 293,564 × 293,564
  4. Step 4: Simplify right side
    138,034x = 86,179,822,096
  5. Step 5: Solve for x
    x = 86,179,822,096/138,034
  6. Step 6: Final answer
    x = 624,337.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.