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Finding the Third Proportional to 170,283 and 370,041

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Solution

The third proportional to 170,283 and 370,041 is: 804,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,283 : 370,041 = 370,041 : x
  2. Step 2: Convert to fraction form
    170,283/370,041 = 370,041/x
  3. Step 3: Cross multiply
    170,283x = 370,041 × 370,041
  4. Step 4: Simplify right side
    170,283x = 136,930,341,681
  5. Step 5: Solve for x
    x = 136,930,341,681/170,283
  6. Step 6: Final answer
    x = 804,133.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.