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Finding the Third Proportional to 180,350 and 385,716

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Solution

The third proportional to 180,350 and 385,716 is: 824,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,350 : 385,716 = 385,716 : x
  2. Step 2: Convert to fraction form
    180,350/385,716 = 385,716/x
  3. Step 3: Cross multiply
    180,350x = 385,716 × 385,716
  4. Step 4: Simplify right side
    180,350x = 148,776,832,656
  5. Step 5: Solve for x
    x = 148,776,832,656/180,350
  6. Step 6: Final answer
    x = 824,933.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.