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Finding the Third Proportional to 158,298 and 245,895

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Solution

The third proportional to 158,298 and 245,895 is: 381,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,298 : 245,895 = 245,895 : x
  2. Step 2: Convert to fraction form
    158,298/245,895 = 245,895/x
  3. Step 3: Cross multiply
    158,298x = 245,895 × 245,895
  4. Step 4: Simplify right side
    158,298x = 60,464,351,025
  5. Step 5: Solve for x
    x = 60,464,351,025/158,298
  6. Step 6: Final answer
    x = 381,965.35

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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.