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Finding the Third Proportional to 111,334 and 242,648.50

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Solution

The third proportional to 111,334 and 242,648.50 is: 528,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,334 : 242,648.50 = 242,648.50 : x
  2. Step 2: Convert to fraction form
    111,334/242,648.50 = 242,648.50/x
  3. Step 3: Cross multiply
    111,334x = 242,648.50 × 242,648.50
  4. Step 4: Simplify right side
    111,334x = 58,878,294,552.25
  5. Step 5: Solve for x
    x = 58,878,294,552.25/111,334
  6. Step 6: Final answer
    x = 528,843.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.