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Finding the Third Proportional to 198,261 and 282,630

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Solution

The third proportional to 198,261 and 282,630 is: 402,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,261 : 282,630 = 282,630 : x
  2. Step 2: Convert to fraction form
    198,261/282,630 = 282,630/x
  3. Step 3: Cross multiply
    198,261x = 282,630 × 282,630
  4. Step 4: Simplify right side
    198,261x = 79,879,716,900
  5. Step 5: Solve for x
    x = 79,879,716,900/198,261
  6. Step 6: Final answer
    x = 402,901.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.