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Finding the Third Proportional to 193,635 and 424,534

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Solution

The third proportional to 193,635 and 424,534 is: 930,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,635 : 424,534 = 424,534 : x
  2. Step 2: Convert to fraction form
    193,635/424,534 = 424,534/x
  3. Step 3: Cross multiply
    193,635x = 424,534 × 424,534
  4. Step 4: Simplify right side
    193,635x = 180,229,117,156
  5. Step 5: Solve for x
    x = 180,229,117,156/193,635
  6. Step 6: Final answer
    x = 930,767.25

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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.