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Finding the Third Proportional to 194,042.25 and 424,990.13

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Solution

The third proportional to 194,042.25 and 424,990.13 is: 930,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,042.25 : 424,990.13 = 424,990.13 : x
  2. Step 2: Convert to fraction form
    194,042.25/424,990.13 = 424,990.13/x
  3. Step 3: Cross multiply
    194,042.25x = 424,990.13 × 424,990.13
  4. Step 4: Simplify right side
    194,042.25x = 180,616,606,347.52
  5. Step 5: Solve for x
    x = 180,616,606,347.52/194,042.25
  6. Step 6: Final answer
    x = 930,810.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.