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Finding the Third Proportional to 185,873.06 and 295,417.13

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Solution

The third proportional to 185,873.06 and 295,417.13 is: 469,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,873.06 : 295,417.13 = 295,417.13 : x
  2. Step 2: Convert to fraction form
    185,873.06/295,417.13 = 295,417.13/x
  3. Step 3: Cross multiply
    185,873.06x = 295,417.13 × 295,417.13
  4. Step 4: Simplify right side
    185,873.06x = 87,271,277,743.27
  5. Step 5: Solve for x
    x = 87,271,277,743.27/185,873.06
  6. Step 6: Final answer
    x = 469,520.85

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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.