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Finding the Third Proportional to 131,906 and 293,348

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Solution

The third proportional to 131,906 and 293,348 is: 652,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,906 : 293,348 = 293,348 : x
  2. Step 2: Convert to fraction form
    131,906/293,348 = 293,348/x
  3. Step 3: Cross multiply
    131,906x = 293,348 × 293,348
  4. Step 4: Simplify right side
    131,906x = 86,053,049,104
  5. Step 5: Solve for x
    x = 86,053,049,104/131,906
  6. Step 6: Final answer
    x = 652,381.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.