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Finding the Third Proportional to 176,418 and 362,191.50

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Solution

The third proportional to 176,418 and 362,191.50 is: 743,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,418 : 362,191.50 = 362,191.50 : x
  2. Step 2: Convert to fraction form
    176,418/362,191.50 = 362,191.50/x
  3. Step 3: Cross multiply
    176,418x = 362,191.50 × 362,191.50
  4. Step 4: Simplify right side
    176,418x = 131,182,682,672.25
  5. Step 5: Solve for x
    x = 131,182,682,672.25/176,418
  6. Step 6: Final answer
    x = 743,590.13

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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.