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Finding the Third Proportional to 113,517 and 240,871

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Solution

The third proportional to 113,517 and 240,871 is: 511,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,517 : 240,871 = 240,871 : x
  2. Step 2: Convert to fraction form
    113,517/240,871 = 240,871/x
  3. Step 3: Cross multiply
    113,517x = 240,871 × 240,871
  4. Step 4: Simplify right side
    113,517x = 58,018,838,641
  5. Step 5: Solve for x
    x = 58,018,838,641/113,517
  6. Step 6: Final answer
    x = 511,102.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.