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Finding the Third Proportional to 133,976 and 288,988

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Solution

The third proportional to 133,976 and 288,988 is: 623,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,976 : 288,988 = 288,988 : x
  2. Step 2: Convert to fraction form
    133,976/288,988 = 288,988/x
  3. Step 3: Cross multiply
    133,976x = 288,988 × 288,988
  4. Step 4: Simplify right side
    133,976x = 83,514,064,144
  5. Step 5: Solve for x
    x = 83,514,064,144/133,976
  6. Step 6: Final answer
    x = 623,350.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.