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Finding the Third Proportional to 138,722 and 294,724

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Solution

The third proportional to 138,722 and 294,724 is: 626,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722 : 294,724 = 294,724 : x
  2. Step 2: Convert to fraction form
    138,722/294,724 = 294,724/x
  3. Step 3: Cross multiply
    138,722x = 294,724 × 294,724
  4. Step 4: Simplify right side
    138,722x = 86,862,236,176
  5. Step 5: Solve for x
    x = 86,862,236,176/138,722
  6. Step 6: Final answer
    x = 626,160.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.