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Finding the Third Proportional to 187,339.50 and 394,264.13

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Solution

The third proportional to 187,339.50 and 394,264.13 is: 829,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,339.50 : 394,264.13 = 394,264.13 : x
  2. Step 2: Convert to fraction form
    187,339.50/394,264.13 = 394,264.13/x
  3. Step 3: Cross multiply
    187,339.50x = 394,264.13 × 394,264.13
  4. Step 4: Simplify right side
    187,339.50x = 155,444,200,262.02
  5. Step 5: Solve for x
    x = 155,444,200,262.02/187,339.50
  6. Step 6: Final answer
    x = 829,746.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.