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Finding the Third Proportional to 170,234 and 370,303

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Solution

The third proportional to 170,234 and 370,303 is: 805,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,234 : 370,303 = 370,303 : x
  2. Step 2: Convert to fraction form
    170,234/370,303 = 370,303/x
  3. Step 3: Cross multiply
    170,234x = 370,303 × 370,303
  4. Step 4: Simplify right side
    170,234x = 137,124,311,809
  5. Step 5: Solve for x
    x = 137,124,311,809/170,234
  6. Step 6: Final answer
    x = 805,504.85

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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.