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Finding the Third Proportional to 193,276.50 and 391,746

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Solution

The third proportional to 193,276.50 and 391,746 is: 794,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,276.50 : 391,746 = 391,746 : x
  2. Step 2: Convert to fraction form
    193,276.50/391,746 = 391,746/x
  3. Step 3: Cross multiply
    193,276.50x = 391,746 × 391,746
  4. Step 4: Simplify right side
    193,276.50x = 153,464,928,516
  5. Step 5: Solve for x
    x = 153,464,928,516/193,276.50
  6. Step 6: Final answer
    x = 794,017.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.