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Finding the Third Proportional to 98,748 and 217,260

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Solution

The third proportional to 98,748 and 217,260 is: 478,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,748 : 217,260 = 217,260 : x
  2. Step 2: Convert to fraction form
    98,748/217,260 = 217,260/x
  3. Step 3: Cross multiply
    98,748x = 217,260 × 217,260
  4. Step 4: Simplify right side
    98,748x = 47,201,907,600
  5. Step 5: Solve for x
    x = 47,201,907,600/98,748
  6. Step 6: Final answer
    x = 478,003.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.