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Finding the Third Proportional to 188,608.50 and 410,508

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Solution

The third proportional to 188,608.50 and 410,508 is: 893,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,608.50 : 410,508 = 410,508 : x
  2. Step 2: Convert to fraction form
    188,608.50/410,508 = 410,508/x
  3. Step 3: Cross multiply
    188,608.50x = 410,508 × 410,508
  4. Step 4: Simplify right side
    188,608.50x = 168,516,818,064
  5. Step 5: Solve for x
    x = 168,516,818,064/188,608.50
  6. Step 6: Final answer
    x = 893,474.14

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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.