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Finding the Third Proportional to 98,312 and 214,288

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Solution

The third proportional to 98,312 and 214,288 is: 467,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,312 : 214,288 = 214,288 : x
  2. Step 2: Convert to fraction form
    98,312/214,288 = 214,288/x
  3. Step 3: Cross multiply
    98,312x = 214,288 × 214,288
  4. Step 4: Simplify right side
    98,312x = 45,919,346,944
  5. Step 5: Solve for x
    x = 45,919,346,944/98,312
  6. Step 6: Final answer
    x = 467,077.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.