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Finding the Third Proportional to 150,830 and 297,852

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Solution

The third proportional to 150,830 and 297,852 is: 588,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,830 : 297,852 = 297,852 : x
  2. Step 2: Convert to fraction form
    150,830/297,852 = 297,852/x
  3. Step 3: Cross multiply
    150,830x = 297,852 × 297,852
  4. Step 4: Simplify right side
    150,830x = 88,715,813,904
  5. Step 5: Solve for x
    x = 88,715,813,904/150,830
  6. Step 6: Final answer
    x = 588,184.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.