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Finding the Third Proportional to 153,801 and 337,846

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Solution

The third proportional to 153,801 and 337,846 is: 742,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,801 : 337,846 = 337,846 : x
  2. Step 2: Convert to fraction form
    153,801/337,846 = 337,846/x
  3. Step 3: Cross multiply
    153,801x = 337,846 × 337,846
  4. Step 4: Simplify right side
    153,801x = 114,139,919,716
  5. Step 5: Solve for x
    x = 114,139,919,716/153,801
  6. Step 6: Final answer
    x = 742,127.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.