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Finding the Third Proportional to 98,545 and 223,397

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Solution

The third proportional to 98,545 and 223,397 is: 506,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,545 : 223,397 = 223,397 : x
  2. Step 2: Convert to fraction form
    98,545/223,397 = 223,397/x
  3. Step 3: Cross multiply
    98,545x = 223,397 × 223,397
  4. Step 4: Simplify right side
    98,545x = 49,906,219,609
  5. Step 5: Solve for x
    x = 49,906,219,609/98,545
  6. Step 6: Final answer
    x = 506,430.76

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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.