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Finding the Third Proportional to 170,224 and 269,417

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Solution

The third proportional to 170,224 and 269,417 is: 426,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,224 : 269,417 = 269,417 : x
  2. Step 2: Convert to fraction form
    170,224/269,417 = 269,417/x
  3. Step 3: Cross multiply
    170,224x = 269,417 × 269,417
  4. Step 4: Simplify right side
    170,224x = 72,585,519,889
  5. Step 5: Solve for x
    x = 72,585,519,889/170,224
  6. Step 6: Final answer
    x = 426,411.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.