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Finding the Third Proportional to 191,371 and 413,362

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Solution

The third proportional to 191,371 and 413,362 is: 892,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,371 : 413,362 = 413,362 : x
  2. Step 2: Convert to fraction form
    191,371/413,362 = 413,362/x
  3. Step 3: Cross multiply
    191,371x = 413,362 × 413,362
  4. Step 4: Simplify right side
    191,371x = 170,868,143,044
  5. Step 5: Solve for x
    x = 170,868,143,044/191,371
  6. Step 6: Final answer
    x = 892,863.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.