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Finding the Third Proportional to 187,246.50 and 400,737

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Solution

The third proportional to 187,246.50 and 400,737 is: 857,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,246.50 : 400,737 = 400,737 : x
  2. Step 2: Convert to fraction form
    187,246.50/400,737 = 400,737/x
  3. Step 3: Cross multiply
    187,246.50x = 400,737 × 400,737
  4. Step 4: Simplify right side
    187,246.50x = 160,590,143,169
  5. Step 5: Solve for x
    x = 160,590,143,169/187,246.50
  6. Step 6: Final answer
    x = 857,640.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.