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Finding the Third Proportional to 112,368.50 and 241,414

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Solution

The third proportional to 112,368.50 and 241,414 is: 518,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,368.50 : 241,414 = 241,414 : x
  2. Step 2: Convert to fraction form
    112,368.50/241,414 = 241,414/x
  3. Step 3: Cross multiply
    112,368.50x = 241,414 × 241,414
  4. Step 4: Simplify right side
    112,368.50x = 58,280,719,396
  5. Step 5: Solve for x
    x = 58,280,719,396/112,368.50
  6. Step 6: Final answer
    x = 518,657.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.