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Finding the Third Proportional to 159,830 and 266,348

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Solution

The third proportional to 159,830 and 266,348 is: 443,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,830 : 266,348 = 266,348 : x
  2. Step 2: Convert to fraction form
    159,830/266,348 = 266,348/x
  3. Step 3: Cross multiply
    159,830x = 266,348 × 266,348
  4. Step 4: Simplify right side
    159,830x = 70,941,257,104
  5. Step 5: Solve for x
    x = 70,941,257,104/159,830
  6. Step 6: Final answer
    x = 443,854.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.