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Finding the Third Proportional to 173,151 and 262,021.50

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Solution

The third proportional to 173,151 and 262,021.50 is: 396,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,151 : 262,021.50 = 262,021.50 : x
  2. Step 2: Convert to fraction form
    173,151/262,021.50 = 262,021.50/x
  3. Step 3: Cross multiply
    173,151x = 262,021.50 × 262,021.50
  4. Step 4: Simplify right side
    173,151x = 68,655,266,462.25
  5. Step 5: Solve for x
    x = 68,655,266,462.25/173,151
  6. Step 6: Final answer
    x = 396,505.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.