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Finding the Third Proportional to 176,563.13 and 362,421

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Solution

The third proportional to 176,563.13 and 362,421 is: 743,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,563.13 : 362,421 = 362,421 : x
  2. Step 2: Convert to fraction form
    176,563.13/362,421 = 362,421/x
  3. Step 3: Cross multiply
    176,563.13x = 362,421 × 362,421
  4. Step 4: Simplify right side
    176,563.13x = 131,348,981,241
  5. Step 5: Solve for x
    x = 131,348,981,241/176,563.13
  6. Step 6: Final answer
    x = 743,920.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.