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Finding the Third Proportional to 231,384 and 346,164

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Solution

The third proportional to 231,384 and 346,164 is: 517,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,384 : 346,164 = 346,164 : x
  2. Step 2: Convert to fraction form
    231,384/346,164 = 346,164/x
  3. Step 3: Cross multiply
    231,384x = 346,164 × 346,164
  4. Step 4: Simplify right side
    231,384x = 119,829,514,896
  5. Step 5: Solve for x
    x = 119,829,514,896/231,384
  6. Step 6: Final answer
    x = 517,881.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.