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Finding the Third Proportional to 231,164 and 500,232

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Solution

The third proportional to 231,164 and 500,232 is: 1,082,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,164 : 500,232 = 500,232 : x
  2. Step 2: Convert to fraction form
    231,164/500,232 = 500,232/x
  3. Step 3: Cross multiply
    231,164x = 500,232 × 500,232
  4. Step 4: Simplify right side
    231,164x = 250,232,053,824
  5. Step 5: Solve for x
    x = 250,232,053,824/231,164
  6. Step 6: Final answer
    x = 1,082,487.13

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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.