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Finding the Third Proportional to 186,668 and 289,514

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Solution

The third proportional to 186,668 and 289,514 is: 449,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,668 : 289,514 = 289,514 : x
  2. Step 2: Convert to fraction form
    186,668/289,514 = 289,514/x
  3. Step 3: Cross multiply
    186,668x = 289,514 × 289,514
  4. Step 4: Simplify right side
    186,668x = 83,818,356,196
  5. Step 5: Solve for x
    x = 83,818,356,196/186,668
  6. Step 6: Final answer
    x = 449,023.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.