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Finding the Third Proportional to 160,324 and 337,928

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Solution

The third proportional to 160,324 and 337,928 is: 712,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,324 : 337,928 = 337,928 : x
  2. Step 2: Convert to fraction form
    160,324/337,928 = 337,928/x
  3. Step 3: Cross multiply
    160,324x = 337,928 × 337,928
  4. Step 4: Simplify right side
    160,324x = 114,195,333,184
  5. Step 5: Solve for x
    x = 114,195,333,184/160,324
  6. Step 6: Final answer
    x = 712,278.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.