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Finding the Third Proportional to 96,298 and 214,724

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Solution

The third proportional to 96,298 and 214,724 is: 478,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,298 : 214,724 = 214,724 : x
  2. Step 2: Convert to fraction form
    96,298/214,724 = 214,724/x
  3. Step 3: Cross multiply
    96,298x = 214,724 × 214,724
  4. Step 4: Simplify right side
    96,298x = 46,106,396,176
  5. Step 5: Solve for x
    x = 46,106,396,176/96,298
  6. Step 6: Final answer
    x = 478,788.72

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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.