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Finding the Third Proportional to 170,356 and 370,448

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Solution

The third proportional to 170,356 and 370,448 is: 805,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,356 : 370,448 = 370,448 : x
  2. Step 2: Convert to fraction form
    170,356/370,448 = 370,448/x
  3. Step 3: Cross multiply
    170,356x = 370,448 × 370,448
  4. Step 4: Simplify right side
    170,356x = 137,231,720,704
  5. Step 5: Solve for x
    x = 137,231,720,704/170,356
  6. Step 6: Final answer
    x = 805,558.48

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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.