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Finding the Third Proportional to 150,358 and 211,550

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Solution

The third proportional to 150,358 and 211,550 is: 297,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,358 : 211,550 = 211,550 : x
  2. Step 2: Convert to fraction form
    150,358/211,550 = 211,550/x
  3. Step 3: Cross multiply
    150,358x = 211,550 × 211,550
  4. Step 4: Simplify right side
    150,358x = 44,753,402,500
  5. Step 5: Solve for x
    x = 44,753,402,500/150,358
  6. Step 6: Final answer
    x = 297,645.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.