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Finding the Third Proportional to 74,329.88 and 158,265

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Solution

The third proportional to 74,329.88 and 158,265 is: 336,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,329.88 : 158,265 = 158,265 : x
  2. Step 2: Convert to fraction form
    74,329.88/158,265 = 158,265/x
  3. Step 3: Cross multiply
    74,329.88x = 158,265 × 158,265
  4. Step 4: Simplify right side
    74,329.88x = 25,047,810,225
  5. Step 5: Solve for x
    x = 25,047,810,225/74,329.88
  6. Step 6: Final answer
    x = 336,981.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.