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Finding the Third Proportional to 74,656.69 and 162,433.13

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Solution

The third proportional to 74,656.69 and 162,433.13 is: 353,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,656.69 : 162,433.13 = 162,433.13 : x
  2. Step 2: Convert to fraction form
    74,656.69/162,433.13 = 162,433.13/x
  3. Step 3: Cross multiply
    74,656.69x = 162,433.13 × 162,433.13
  4. Step 4: Simplify right side
    74,656.69x = 26,384,520,097.27
  5. Step 5: Solve for x
    x = 26,384,520,097.27/74,656.69
  6. Step 6: Final answer
    x = 353,411.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.