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Finding the Third Proportional to 185,860 and 295,403

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Solution

The third proportional to 185,860 and 295,403 is: 469,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,860 : 295,403 = 295,403 : x
  2. Step 2: Convert to fraction form
    185,860/295,403 = 295,403/x
  3. Step 3: Cross multiply
    185,860x = 295,403 × 295,403
  4. Step 4: Simplify right side
    185,860x = 87,262,932,409
  5. Step 5: Solve for x
    x = 87,262,932,409/185,860
  6. Step 6: Final answer
    x = 469,508.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.