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Finding the Third Proportional to 185,142 and 277,257

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Solution

The third proportional to 185,142 and 277,257 is: 415,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,142 : 277,257 = 277,257 : x
  2. Step 2: Convert to fraction form
    185,142/277,257 = 277,257/x
  3. Step 3: Cross multiply
    185,142x = 277,257 × 277,257
  4. Step 4: Simplify right side
    185,142x = 76,871,444,049
  5. Step 5: Solve for x
    x = 76,871,444,049/185,142
  6. Step 6: Final answer
    x = 415,202.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.