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Finding the Third Proportional to 74,827.13 and 166,261.50

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Solution

The third proportional to 74,827.13 and 166,261.50 is: 369,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,827.13 : 166,261.50 = 166,261.50 : x
  2. Step 2: Convert to fraction form
    74,827.13/166,261.50 = 166,261.50/x
  3. Step 3: Cross multiply
    74,827.13x = 166,261.50 × 166,261.50
  4. Step 4: Simplify right side
    74,827.13x = 27,642,886,382.25
  5. Step 5: Solve for x
    x = 27,642,886,382.25/74,827.13
  6. Step 6: Final answer
    x = 369,423.34

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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.