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Finding the Third Proportional to 116,869.50 and 254,244

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Solution

The third proportional to 116,869.50 and 254,244 is: 553,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,869.50 : 254,244 = 254,244 : x
  2. Step 2: Convert to fraction form
    116,869.50/254,244 = 254,244/x
  3. Step 3: Cross multiply
    116,869.50x = 254,244 × 254,244
  4. Step 4: Simplify right side
    116,869.50x = 64,640,011,536
  5. Step 5: Solve for x
    x = 64,640,011,536/116,869.50
  6. Step 6: Final answer
    x = 553,095.65

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Why These Related Problems?

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