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Finding the Third Proportional to 170,637 and 367,033

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Solution

The third proportional to 170,637 and 367,033 is: 789,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,637 : 367,033 = 367,033 : x
  2. Step 2: Convert to fraction form
    170,637/367,033 = 367,033/x
  3. Step 3: Cross multiply
    170,637x = 367,033 × 367,033
  4. Step 4: Simplify right side
    170,637x = 134,713,223,089
  5. Step 5: Solve for x
    x = 134,713,223,089/170,637
  6. Step 6: Final answer
    x = 789,472.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.