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Finding the Third Proportional to 174,835.13 and 261,174.38

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Solution

The third proportional to 174,835.13 and 261,174.38 is: 390,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,835.13 : 261,174.38 = 261,174.38 : x
  2. Step 2: Convert to fraction form
    174,835.13/261,174.38 = 261,174.38/x
  3. Step 3: Cross multiply
    174,835.13x = 261,174.38 × 261,174.38
  4. Step 4: Simplify right side
    174,835.13x = 68,212,054,156.64
  5. Step 5: Solve for x
    x = 68,212,054,156.64/174,835.13
  6. Step 6: Final answer
    x = 390,150.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.