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Finding the Third Proportional to 113,143.08 and 235,580.91

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Solution

The third proportional to 113,143.08 and 235,580.91 is: 490,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,143.08 : 235,580.91 = 235,580.91 : x
  2. Step 2: Convert to fraction form
    113,143.08/235,580.91 = 235,580.91/x
  3. Step 3: Cross multiply
    113,143.08x = 235,580.91 × 235,580.91
  4. Step 4: Simplify right side
    113,143.08x = 55,498,363,389.57
  5. Step 5: Solve for x
    x = 55,498,363,389.57/113,143.08
  6. Step 6: Final answer
    x = 490,514.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.