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Finding the Third Proportional to 131,726 and 283,459

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Solution

The third proportional to 131,726 and 283,459 is: 609,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,726 : 283,459 = 283,459 : x
  2. Step 2: Convert to fraction form
    131,726/283,459 = 283,459/x
  3. Step 3: Cross multiply
    131,726x = 283,459 × 283,459
  4. Step 4: Simplify right side
    131,726x = 80,349,004,681
  5. Step 5: Solve for x
    x = 80,349,004,681/131,726
  6. Step 6: Final answer
    x = 609,970.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.