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Finding the Third Proportional to 112,959.84 and 244,516.50

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Solution

The third proportional to 112,959.84 and 244,516.50 is: 529,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,959.84 : 244,516.50 = 244,516.50 : x
  2. Step 2: Convert to fraction form
    112,959.84/244,516.50 = 244,516.50/x
  3. Step 3: Cross multiply
    112,959.84x = 244,516.50 × 244,516.50
  4. Step 4: Simplify right side
    112,959.84x = 59,788,318,772.25
  5. Step 5: Solve for x
    x = 59,788,318,772.25/112,959.84
  6. Step 6: Final answer
    x = 529,288.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.