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Finding the Third Proportional to 96,725 and 217,258

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Solution

The third proportional to 96,725 and 217,258 is: 487,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,725 : 217,258 = 217,258 : x
  2. Step 2: Convert to fraction form
    96,725/217,258 = 217,258/x
  3. Step 3: Cross multiply
    96,725x = 217,258 × 217,258
  4. Step 4: Simplify right side
    96,725x = 47,201,038,564
  5. Step 5: Solve for x
    x = 47,201,038,564/96,725
  6. Step 6: Final answer
    x = 487,992.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.