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Finding the Third Proportional to 190,076 and 410,284

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Solution

The third proportional to 190,076 and 410,284 is: 885,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,076 : 410,284 = 410,284 : x
  2. Step 2: Convert to fraction form
    190,076/410,284 = 410,284/x
  3. Step 3: Cross multiply
    190,076x = 410,284 × 410,284
  4. Step 4: Simplify right side
    190,076x = 168,332,960,656
  5. Step 5: Solve for x
    x = 168,332,960,656/190,076
  6. Step 6: Final answer
    x = 885,608.71

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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.