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Finding the Third Proportional to 98,283 and 204,342

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Solution

The third proportional to 98,283 and 204,342 is: 424,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,283 : 204,342 = 204,342 : x
  2. Step 2: Convert to fraction form
    98,283/204,342 = 204,342/x
  3. Step 3: Cross multiply
    98,283x = 204,342 × 204,342
  4. Step 4: Simplify right side
    98,283x = 41,755,652,964
  5. Step 5: Solve for x
    x = 41,755,652,964/98,283
  6. Step 6: Final answer
    x = 424,851.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.