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Finding the Third Proportional to 113,563.50 and 238,895

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Solution

The third proportional to 113,563.50 and 238,895 is: 502,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,563.50 : 238,895 = 238,895 : x
  2. Step 2: Convert to fraction form
    113,563.50/238,895 = 238,895/x
  3. Step 3: Cross multiply
    113,563.50x = 238,895 × 238,895
  4. Step 4: Simplify right side
    113,563.50x = 57,070,821,025
  5. Step 5: Solve for x
    x = 57,070,821,025/113,563.50
  6. Step 6: Final answer
    x = 502,545.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.