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Finding the Third Proportional to 170,061 and 370,739

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Solution

The third proportional to 170,061 and 370,739 is: 808,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,061 : 370,739 = 370,739 : x
  2. Step 2: Convert to fraction form
    170,061/370,739 = 370,739/x
  3. Step 3: Cross multiply
    170,061x = 370,739 × 370,739
  4. Step 4: Simplify right side
    170,061x = 137,447,406,121
  5. Step 5: Solve for x
    x = 137,447,406,121/170,061
  6. Step 6: Final answer
    x = 808,224.14

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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.