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Finding the Third Proportional to 182,781.56 and 427,065.75

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Solution

The third proportional to 182,781.56 and 427,065.75 is: 997,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,781.56 : 427,065.75 = 427,065.75 : x
  2. Step 2: Convert to fraction form
    182,781.56/427,065.75 = 427,065.75/x
  3. Step 3: Cross multiply
    182,781.56x = 427,065.75 × 427,065.75
  4. Step 4: Simplify right side
    182,781.56x = 182,385,154,823.06
  5. Step 5: Solve for x
    x = 182,385,154,823.06/182,781.56
  6. Step 6: Final answer
    x = 997,831.25

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.