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Finding the Third Proportional to 170,084 and 370,138

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Solution

The third proportional to 170,084 and 370,138 is: 805,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,084 : 370,138 = 370,138 : x
  2. Step 2: Convert to fraction form
    170,084/370,138 = 370,138/x
  3. Step 3: Cross multiply
    170,084x = 370,138 × 370,138
  4. Step 4: Simplify right side
    170,084x = 137,002,139,044
  5. Step 5: Solve for x
    x = 137,002,139,044/170,084
  6. Step 6: Final answer
    x = 805,496.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.