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Finding the Third Proportional to 171,421 and 261,483.50

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Solution

The third proportional to 171,421 and 261,483.50 is: 398,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,421 : 261,483.50 = 261,483.50 : x
  2. Step 2: Convert to fraction form
    171,421/261,483.50 = 261,483.50/x
  3. Step 3: Cross multiply
    171,421x = 261,483.50 × 261,483.50
  4. Step 4: Simplify right side
    171,421x = 68,373,620,772.25
  5. Step 5: Solve for x
    x = 68,373,620,772.25/171,421
  6. Step 6: Final answer
    x = 398,863.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.