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Finding the Third Proportional to 159,178.92 and 240,818.06

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Solution

The third proportional to 159,178.92 and 240,818.06 is: 364,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,178.92 : 240,818.06 = 240,818.06 : x
  2. Step 2: Convert to fraction form
    159,178.92/240,818.06 = 240,818.06/x
  3. Step 3: Cross multiply
    159,178.92x = 240,818.06 × 240,818.06
  4. Step 4: Simplify right side
    159,178.92x = 57,993,339,226.25
  5. Step 5: Solve for x
    x = 57,993,339,226.25/159,178.92
  6. Step 6: Final answer
    x = 364,328.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.