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Finding the Third Proportional to 113,971 and 244,557

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Solution

The third proportional to 113,971 and 244,557 is: 524,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,971 : 244,557 = 244,557 : x
  2. Step 2: Convert to fraction form
    113,971/244,557 = 244,557/x
  3. Step 3: Cross multiply
    113,971x = 244,557 × 244,557
  4. Step 4: Simplify right side
    113,971x = 59,808,126,249
  5. Step 5: Solve for x
    x = 59,808,126,249/113,971
  6. Step 6: Final answer
    x = 524,766.18

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Why These Related Problems?

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