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Finding the Third Proportional to 170,074 and 245,854

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Solution

The third proportional to 170,074 and 245,854 is: 355,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,074 : 245,854 = 245,854 : x
  2. Step 2: Convert to fraction form
    170,074/245,854 = 245,854/x
  3. Step 3: Cross multiply
    170,074x = 245,854 × 245,854
  4. Step 4: Simplify right side
    170,074x = 60,444,189,316
  5. Step 5: Solve for x
    x = 60,444,189,316/170,074
  6. Step 6: Final answer
    x = 355,399.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.