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Finding the Third Proportional to 97,580 and 218,584

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Solution

The third proportional to 97,580 and 218,584 is: 489,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,580 : 218,584 = 218,584 : x
  2. Step 2: Convert to fraction form
    97,580/218,584 = 218,584/x
  3. Step 3: Cross multiply
    97,580x = 218,584 × 218,584
  4. Step 4: Simplify right side
    97,580x = 47,778,965,056
  5. Step 5: Solve for x
    x = 47,778,965,056/97,580
  6. Step 6: Final answer
    x = 489,638.91

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.