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Finding the Third Proportional to 183,571.31 and 425,827.13

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Solution

The third proportional to 183,571.31 and 425,827.13 is: 987,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,571.31 : 425,827.13 = 425,827.13 : x
  2. Step 2: Convert to fraction form
    183,571.31/425,827.13 = 425,827.13/x
  3. Step 3: Cross multiply
    183,571.31x = 425,827.13 × 425,827.13
  4. Step 4: Simplify right side
    183,571.31x = 181,328,740,385.77
  5. Step 5: Solve for x
    x = 181,328,740,385.77/183,571.31
  6. Step 6: Final answer
    x = 987,783.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.