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Finding the Third Proportional to 138,032 and 293,560

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Solution

The third proportional to 138,032 and 293,560 is: 624,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,032 : 293,560 = 293,560 : x
  2. Step 2: Convert to fraction form
    138,032/293,560 = 293,560/x
  3. Step 3: Cross multiply
    138,032x = 293,560 × 293,560
  4. Step 4: Simplify right side
    138,032x = 86,177,473,600
  5. Step 5: Solve for x
    x = 86,177,473,600/138,032
  6. Step 6: Final answer
    x = 624,329.67

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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.