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Finding the Third Proportional to 111,216 and 262,428.50

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Solution

The third proportional to 111,216 and 262,428.50 is: 619,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,216 : 262,428.50 = 262,428.50 : x
  2. Step 2: Convert to fraction form
    111,216/262,428.50 = 262,428.50/x
  3. Step 3: Cross multiply
    111,216x = 262,428.50 × 262,428.50
  4. Step 4: Simplify right side
    111,216x = 68,868,717,612.25
  5. Step 5: Solve for x
    x = 68,868,717,612.25/111,216
  6. Step 6: Final answer
    x = 619,233.90

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.