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Finding the Third Proportional to 193,461 and 295,915

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Solution

The third proportional to 193,461 and 295,915 is: 452,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,461 : 295,915 = 295,915 : x
  2. Step 2: Convert to fraction form
    193,461/295,915 = 295,915/x
  3. Step 3: Cross multiply
    193,461x = 295,915 × 295,915
  4. Step 4: Simplify right side
    193,461x = 87,565,687,225
  5. Step 5: Solve for x
    x = 87,565,687,225/193,461
  6. Step 6: Final answer
    x = 452,627.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.