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Finding the Third Proportional to 194,090 and 424,164

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Solution

The third proportional to 194,090 and 424,164 is: 926,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,090 : 424,164 = 424,164 : x
  2. Step 2: Convert to fraction form
    194,090/424,164 = 424,164/x
  3. Step 3: Cross multiply
    194,090x = 424,164 × 424,164
  4. Step 4: Simplify right side
    194,090x = 179,915,098,896
  5. Step 5: Solve for x
    x = 179,915,098,896/194,090
  6. Step 6: Final answer
    x = 926,967.38

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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.