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Finding the Third Proportional to 188,025.75 and 410,349

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Solution

The third proportional to 188,025.75 and 410,349 is: 895,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,025.75 : 410,349 = 410,349 : x
  2. Step 2: Convert to fraction form
    188,025.75/410,349 = 410,349/x
  3. Step 3: Cross multiply
    188,025.75x = 410,349 × 410,349
  4. Step 4: Simplify right side
    188,025.75x = 168,386,301,801
  5. Step 5: Solve for x
    x = 168,386,301,801/188,025.75
  6. Step 6: Final answer
    x = 895,549.16

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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.