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Finding the Third Proportional to 77,260.08 and 160,442.02

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Solution

The third proportional to 77,260.08 and 160,442.02 is: 333,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,260.08 : 160,442.02 = 160,442.02 : x
  2. Step 2: Convert to fraction form
    77,260.08/160,442.02 = 160,442.02/x
  3. Step 3: Cross multiply
    77,260.08x = 160,442.02 × 160,442.02
  4. Step 4: Simplify right side
    77,260.08x = 25,741,640,377.81
  5. Step 5: Solve for x
    x = 25,741,640,377.81/77,260.08
  6. Step 6: Final answer
    x = 333,181.65

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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.