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Finding the Third Proportional to 252,306 and 298,388

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Solution

The third proportional to 252,306 and 298,388 is: 352,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,306 : 298,388 = 298,388 : x
  2. Step 2: Convert to fraction form
    252,306/298,388 = 298,388/x
  3. Step 3: Cross multiply
    252,306x = 298,388 × 298,388
  4. Step 4: Simplify right side
    252,306x = 89,035,398,544
  5. Step 5: Solve for x
    x = 89,035,398,544/252,306
  6. Step 6: Final answer
    x = 352,886.57

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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.