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Finding the Third Proportional to 185,253 and 399,306

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Solution

The third proportional to 185,253 and 399,306 is: 860,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,253 : 399,306 = 399,306 : x
  2. Step 2: Convert to fraction form
    185,253/399,306 = 399,306/x
  3. Step 3: Cross multiply
    185,253x = 399,306 × 399,306
  4. Step 4: Simplify right side
    185,253x = 159,445,281,636
  5. Step 5: Solve for x
    x = 159,445,281,636/185,253
  6. Step 6: Final answer
    x = 860,689.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.