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Finding the Third Proportional to 96,301 and 214,730

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Solution

The third proportional to 96,301 and 214,730 is: 478,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,301 : 214,730 = 214,730 : x
  2. Step 2: Convert to fraction form
    96,301/214,730 = 214,730/x
  3. Step 3: Cross multiply
    96,301x = 214,730 × 214,730
  4. Step 4: Simplify right side
    96,301x = 46,108,972,900
  5. Step 5: Solve for x
    x = 46,108,972,900/96,301
  6. Step 6: Final answer
    x = 478,800.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.