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Finding the Third Proportional to 191,390 and 419,068

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Solution

The third proportional to 191,390 and 419,068 is: 917,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,390 : 419,068 = 419,068 : x
  2. Step 2: Convert to fraction form
    191,390/419,068 = 419,068/x
  3. Step 3: Cross multiply
    191,390x = 419,068 × 419,068
  4. Step 4: Simplify right side
    191,390x = 175,617,988,624
  5. Step 5: Solve for x
    x = 175,617,988,624/191,390
  6. Step 6: Final answer
    x = 917,592.29

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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.