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Finding the Third Proportional to 133,864 and 291,048

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Solution

The third proportional to 133,864 and 291,048 is: 632,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,864 : 291,048 = 291,048 : x
  2. Step 2: Convert to fraction form
    133,864/291,048 = 291,048/x
  3. Step 3: Cross multiply
    133,864x = 291,048 × 291,048
  4. Step 4: Simplify right side
    133,864x = 84,708,938,304
  5. Step 5: Solve for x
    x = 84,708,938,304/133,864
  6. Step 6: Final answer
    x = 632,798.50

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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.