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Finding the Third Proportional to 181,084.50 and 385,560

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Solution

The third proportional to 181,084.50 and 385,560 is: 820,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,084.50 : 385,560 = 385,560 : x
  2. Step 2: Convert to fraction form
    181,084.50/385,560 = 385,560/x
  3. Step 3: Cross multiply
    181,084.50x = 385,560 × 385,560
  4. Step 4: Simplify right side
    181,084.50x = 148,656,513,600
  5. Step 5: Solve for x
    x = 148,656,513,600/181,084.50
  6. Step 6: Final answer
    x = 820,923.46

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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.