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Finding the Third Proportional to 165,775 and 357,758

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Solution

The third proportional to 165,775 and 357,758 is: 772,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,775 : 357,758 = 357,758 : x
  2. Step 2: Convert to fraction form
    165,775/357,758 = 357,758/x
  3. Step 3: Cross multiply
    165,775x = 357,758 × 357,758
  4. Step 4: Simplify right side
    165,775x = 127,990,786,564
  5. Step 5: Solve for x
    x = 127,990,786,564/165,775
  6. Step 6: Final answer
    x = 772,075.32

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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.