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Finding the Third Proportional to 191,090 and 404,959

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Solution

The third proportional to 191,090 and 404,959 is: 858,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,090 : 404,959 = 404,959 : x
  2. Step 2: Convert to fraction form
    191,090/404,959 = 404,959/x
  3. Step 3: Cross multiply
    191,090x = 404,959 × 404,959
  4. Step 4: Simplify right side
    191,090x = 163,991,791,681
  5. Step 5: Solve for x
    x = 163,991,791,681/191,090
  6. Step 6: Final answer
    x = 858,191.38

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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.