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Finding the Third Proportional to 84,416 and 197,212

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Solution

The third proportional to 84,416 and 197,212 is: 460,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416 : 197,212 = 197,212 : x
  2. Step 2: Convert to fraction form
    84,416/197,212 = 197,212/x
  3. Step 3: Cross multiply
    84,416x = 197,212 × 197,212
  4. Step 4: Simplify right side
    84,416x = 38,892,572,944
  5. Step 5: Solve for x
    x = 38,892,572,944/84,416
  6. Step 6: Final answer
    x = 460,725.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.