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Finding the Third Proportional to 180,430 and 391,600

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Solution

The third proportional to 180,430 and 391,600 is: 849,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,430 : 391,600 = 391,600 : x
  2. Step 2: Convert to fraction form
    180,430/391,600 = 391,600/x
  3. Step 3: Cross multiply
    180,430x = 391,600 × 391,600
  4. Step 4: Simplify right side
    180,430x = 153,350,560,000
  5. Step 5: Solve for x
    x = 153,350,560,000/180,430
  6. Step 6: Final answer
    x = 849,917.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.