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Finding the Third Proportional to 169,472 and 361,460

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Solution

The third proportional to 169,472 and 361,460 is: 770,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,472 : 361,460 = 361,460 : x
  2. Step 2: Convert to fraction form
    169,472/361,460 = 361,460/x
  3. Step 3: Cross multiply
    169,472x = 361,460 × 361,460
  4. Step 4: Simplify right side
    169,472x = 130,653,331,600
  5. Step 5: Solve for x
    x = 130,653,331,600/169,472
  6. Step 6: Final answer
    x = 770,943.47

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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.