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Finding the Third Proportional to 187,866.84 and 416,246.34

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Solution

The third proportional to 187,866.84 and 416,246.34 is: 922,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,866.84 : 416,246.34 = 416,246.34 : x
  2. Step 2: Convert to fraction form
    187,866.84/416,246.34 = 416,246.34/x
  3. Step 3: Cross multiply
    187,866.84x = 416,246.34 × 416,246.34
  4. Step 4: Simplify right side
    187,866.84x = 173,261,018,685.24
  5. Step 5: Solve for x
    x = 173,261,018,685.24/187,866.84
  6. Step 6: Final answer
    x = 922,254.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.