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Finding the Third Proportional to 228,098 and 357,812

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Solution

The third proportional to 228,098 and 357,812 is: 561,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098 : 357,812 = 357,812 : x
  2. Step 2: Convert to fraction form
    228,098/357,812 = 357,812/x
  3. Step 3: Cross multiply
    228,098x = 357,812 × 357,812
  4. Step 4: Simplify right side
    228,098x = 128,029,427,344
  5. Step 5: Solve for x
    x = 128,029,427,344/228,098
  6. Step 6: Final answer
    x = 561,291.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.