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Finding the Third Proportional to 114,471 and 245,871

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Solution

The third proportional to 114,471 and 245,871 is: 528,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471 : 245,871 = 245,871 : x
  2. Step 2: Convert to fraction form
    114,471/245,871 = 245,871/x
  3. Step 3: Cross multiply
    114,471x = 245,871 × 245,871
  4. Step 4: Simplify right side
    114,471x = 60,452,548,641
  5. Step 5: Solve for x
    x = 60,452,548,641/114,471
  6. Step 6: Final answer
    x = 528,103.61

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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.