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Finding the Third Proportional to 74,332 and 160,184

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Solution

The third proportional to 74,332 and 160,184 is: 345,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,332 : 160,184 = 160,184 : x
  2. Step 2: Convert to fraction form
    74,332/160,184 = 160,184/x
  3. Step 3: Cross multiply
    74,332x = 160,184 × 160,184
  4. Step 4: Simplify right side
    74,332x = 25,658,913,856
  5. Step 5: Solve for x
    x = 25,658,913,856/74,332
  6. Step 6: Final answer
    x = 345,193.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.