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Finding the Third Proportional to 141,823.50 and 302,418

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Solution

The third proportional to 141,823.50 and 302,418 is: 644,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,823.50 : 302,418 = 302,418 : x
  2. Step 2: Convert to fraction form
    141,823.50/302,418 = 302,418/x
  3. Step 3: Cross multiply
    141,823.50x = 302,418 × 302,418
  4. Step 4: Simplify right side
    141,823.50x = 91,456,646,724
  5. Step 5: Solve for x
    x = 91,456,646,724/141,823.50
  6. Step 6: Final answer
    x = 644,862.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.