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Finding the Third Proportional to 169,472 and 368,454

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Solution

The third proportional to 169,472 and 368,454 is: 801,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,472 : 368,454 = 368,454 : x
  2. Step 2: Convert to fraction form
    169,472/368,454 = 368,454/x
  3. Step 3: Cross multiply
    169,472x = 368,454 × 368,454
  4. Step 4: Simplify right side
    169,472x = 135,758,350,116
  5. Step 5: Solve for x
    x = 135,758,350,116/169,472
  6. Step 6: Final answer
    x = 801,066.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.