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Finding the Third Proportional to 232.75 and 503.38

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Solution

The third proportional to 232.75 and 503.38 is: 1,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 503.38 = 503.38 : x
  2. Step 2: Convert to fraction form
    232.75/503.38 = 503.38/x
  3. Step 3: Cross multiply
    232.75x = 503.38 × 503.38
  4. Step 4: Simplify right side
    232.75x = 253,386.39
  5. Step 5: Solve for x
    x = 253,386.39/232.75
  6. Step 6: Final answer
    x = 1,088.66

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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.