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Finding the Third Proportional to 171,687 and 265,837.50

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Solution

The third proportional to 171,687 and 265,837.50 is: 411,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,687 : 265,837.50 = 265,837.50 : x
  2. Step 2: Convert to fraction form
    171,687/265,837.50 = 265,837.50/x
  3. Step 3: Cross multiply
    171,687x = 265,837.50 × 265,837.50
  4. Step 4: Simplify right side
    171,687x = 70,669,576,406.25
  5. Step 5: Solve for x
    x = 70,669,576,406.25/171,687
  6. Step 6: Final answer
    x = 411,618.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.