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Finding the Third Proportional to 191,058.75 and 404,875.13

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Solution

The third proportional to 191,058.75 and 404,875.13 is: 857,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,058.75 : 404,875.13 = 404,875.13 : x
  2. Step 2: Convert to fraction form
    191,058.75/404,875.13 = 404,875.13/x
  3. Step 3: Cross multiply
    191,058.75x = 404,875.13 × 404,875.13
  4. Step 4: Simplify right side
    191,058.75x = 163,923,866,843.77
  5. Step 5: Solve for x
    x = 163,923,866,843.77/191,058.75
  6. Step 6: Final answer
    x = 857,976.23

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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.