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Finding the Third Proportional to 169,624 and 370,022

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Solution

The third proportional to 169,624 and 370,022 is: 807,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,624 : 370,022 = 370,022 : x
  2. Step 2: Convert to fraction form
    169,624/370,022 = 370,022/x
  3. Step 3: Cross multiply
    169,624x = 370,022 × 370,022
  4. Step 4: Simplify right side
    169,624x = 136,916,280,484
  5. Step 5: Solve for x
    x = 136,916,280,484/169,624
  6. Step 6: Final answer
    x = 807,175.17

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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.