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Finding the Third Proportional to 131,982 and 293,406

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Solution

The third proportional to 131,982 and 293,406 is: 652,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,982 : 293,406 = 293,406 : x
  2. Step 2: Convert to fraction form
    131,982/293,406 = 293,406/x
  3. Step 3: Cross multiply
    131,982x = 293,406 × 293,406
  4. Step 4: Simplify right side
    131,982x = 86,087,080,836
  5. Step 5: Solve for x
    x = 86,087,080,836/131,982
  6. Step 6: Final answer
    x = 652,263.80

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