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Finding the Third Proportional to 74,926.69 and 160,479.56

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Solution

The third proportional to 74,926.69 and 160,479.56 is: 343,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,926.69 : 160,479.56 = 160,479.56 : x
  2. Step 2: Convert to fraction form
    74,926.69/160,479.56 = 160,479.56/x
  3. Step 3: Cross multiply
    74,926.69x = 160,479.56 × 160,479.56
  4. Step 4: Simplify right side
    74,926.69x = 25,753,689,980.19
  5. Step 5: Solve for x
    x = 25,753,689,980.19/74,926.69
  6. Step 6: Final answer
    x = 343,718.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.