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Finding the Third Proportional to 95,490 and 209,341

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Solution

The third proportional to 95,490 and 209,341 is: 458,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,490 : 209,341 = 209,341 : x
  2. Step 2: Convert to fraction form
    95,490/209,341 = 209,341/x
  3. Step 3: Cross multiply
    95,490x = 209,341 × 209,341
  4. Step 4: Simplify right side
    95,490x = 43,823,654,281
  5. Step 5: Solve for x
    x = 43,823,654,281/95,490
  6. Step 6: Final answer
    x = 458,934.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.