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Finding the Third Proportional to 98,358 and 211,050

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Solution

The third proportional to 98,358 and 211,050 is: 452,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,358 : 211,050 = 211,050 : x
  2. Step 2: Convert to fraction form
    98,358/211,050 = 211,050/x
  3. Step 3: Cross multiply
    98,358x = 211,050 × 211,050
  4. Step 4: Simplify right side
    98,358x = 44,542,102,500
  5. Step 5: Solve for x
    x = 44,542,102,500/98,358
  6. Step 6: Final answer
    x = 452,856.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.