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Finding the Third Proportional to 98,541 and 223,389

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Solution

The third proportional to 98,541 and 223,389 is: 506,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541 : 223,389 = 223,389 : x
  2. Step 2: Convert to fraction form
    98,541/223,389 = 223,389/x
  3. Step 3: Cross multiply
    98,541x = 223,389 × 223,389
  4. Step 4: Simplify right side
    98,541x = 49,902,645,321
  5. Step 5: Solve for x
    x = 49,902,645,321/98,541
  6. Step 6: Final answer
    x = 506,415.05

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.