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Finding the Third Proportional to 170,919 and 370,998

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Solution

The third proportional to 170,919 and 370,998 is: 805,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,919 : 370,998 = 370,998 : x
  2. Step 2: Convert to fraction form
    170,919/370,998 = 370,998/x
  3. Step 3: Cross multiply
    170,919x = 370,998 × 370,998
  4. Step 4: Simplify right side
    170,919x = 137,639,516,004
  5. Step 5: Solve for x
    x = 137,639,516,004/170,919
  6. Step 6: Final answer
    x = 805,290.90

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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.