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Finding the Third Proportional to 150,572 and 297,336

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Solution

The third proportional to 150,572 and 297,336 is: 587,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,572 : 297,336 = 297,336 : x
  2. Step 2: Convert to fraction form
    150,572/297,336 = 297,336/x
  3. Step 3: Cross multiply
    150,572x = 297,336 × 297,336
  4. Step 4: Simplify right side
    150,572x = 88,408,696,896
  5. Step 5: Solve for x
    x = 88,408,696,896/150,572
  6. Step 6: Final answer
    x = 587,152.31

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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.