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Finding the Third Proportional to 252,306 and 298,386

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Solution

The third proportional to 252,306 and 298,386 is: 352,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,306 : 298,386 = 298,386 : x
  2. Step 2: Convert to fraction form
    252,306/298,386 = 298,386/x
  3. Step 3: Cross multiply
    252,306x = 298,386 × 298,386
  4. Step 4: Simplify right side
    252,306x = 89,034,204,996
  5. Step 5: Solve for x
    x = 89,034,204,996/252,306
  6. Step 6: Final answer
    x = 352,881.84

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.