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Finding the Third Proportional to 74,332.50 and 160,329

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Solution

The third proportional to 74,332.50 and 160,329 is: 345,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,332.50 : 160,329 = 160,329 : x
  2. Step 2: Convert to fraction form
    74,332.50/160,329 = 160,329/x
  3. Step 3: Cross multiply
    74,332.50x = 160,329 × 160,329
  4. Step 4: Simplify right side
    74,332.50x = 25,705,388,241
  5. Step 5: Solve for x
    x = 25,705,388,241/74,332.50
  6. Step 6: Final answer
    x = 345,816.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.