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Finding the Third Proportional to 165,622 and 357,470

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Solution

The third proportional to 165,622 and 357,470 is: 771,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,622 : 357,470 = 357,470 : x
  2. Step 2: Convert to fraction form
    165,622/357,470 = 357,470/x
  3. Step 3: Cross multiply
    165,622x = 357,470 × 357,470
  4. Step 4: Simplify right side
    165,622x = 127,784,800,900
  5. Step 5: Solve for x
    x = 127,784,800,900/165,622
  6. Step 6: Final answer
    x = 771,544.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.