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Finding the Third Proportional to 115,438 and 173,490

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Solution

The third proportional to 115,438 and 173,490 is: 260,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438 : 173,490 = 173,490 : x
  2. Step 2: Convert to fraction form
    115,438/173,490 = 173,490/x
  3. Step 3: Cross multiply
    115,438x = 173,490 × 173,490
  4. Step 4: Simplify right side
    115,438x = 30,098,780,100
  5. Step 5: Solve for x
    x = 30,098,780,100/115,438
  6. Step 6: Final answer
    x = 260,735.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.