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Finding the Third Proportional to 191,070 and 404,898

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Solution

The third proportional to 191,070 and 404,898 is: 858,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,070 : 404,898 = 404,898 : x
  2. Step 2: Convert to fraction form
    191,070/404,898 = 404,898/x
  3. Step 3: Cross multiply
    191,070x = 404,898 × 404,898
  4. Step 4: Simplify right side
    191,070x = 163,942,390,404
  5. Step 5: Solve for x
    x = 163,942,390,404/191,070
  6. Step 6: Final answer
    x = 858,022.66

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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.