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Finding the Third Proportional to 191,068 and 404,893

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Solution

The third proportional to 191,068 and 404,893 is: 858,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,068 : 404,893 = 404,893 : x
  2. Step 2: Convert to fraction form
    191,068/404,893 = 404,893/x
  3. Step 3: Cross multiply
    191,068x = 404,893 × 404,893
  4. Step 4: Simplify right side
    191,068x = 163,938,341,449
  5. Step 5: Solve for x
    x = 163,938,341,449/191,068
  6. Step 6: Final answer
    x = 858,010.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.