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Finding the Third Proportional to 165,562 and 346,114

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Solution

The third proportional to 165,562 and 346,114 is: 723,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,562 : 346,114 = 346,114 : x
  2. Step 2: Convert to fraction form
    165,562/346,114 = 346,114/x
  3. Step 3: Cross multiply
    165,562x = 346,114 × 346,114
  4. Step 4: Simplify right side
    165,562x = 119,794,900,996
  5. Step 5: Solve for x
    x = 119,794,900,996/165,562
  6. Step 6: Final answer
    x = 723,565.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.