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Finding the Third Proportional to 191,032.17 and 413,206.31

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Solution

The third proportional to 191,032.17 and 413,206.31 is: 893,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,032.17 : 413,206.31 = 413,206.31 : x
  2. Step 2: Convert to fraction form
    191,032.17/413,206.31 = 413,206.31/x
  3. Step 3: Cross multiply
    191,032.17x = 413,206.31 × 413,206.31
  4. Step 4: Simplify right side
    191,032.17x = 170,739,456,689.85
  5. Step 5: Solve for x
    x = 170,739,456,689.85/191,032.17
  6. Step 6: Final answer
    x = 893,773.31

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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.