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Finding the Third Proportional to 165,758 and 357,724

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Solution

The third proportional to 165,758 and 357,724 is: 772,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,758 : 357,724 = 357,724 : x
  2. Step 2: Convert to fraction form
    165,758/357,724 = 357,724/x
  3. Step 3: Cross multiply
    165,758x = 357,724 × 357,724
  4. Step 4: Simplify right side
    165,758x = 127,966,460,176
  5. Step 5: Solve for x
    x = 127,966,460,176/165,758
  6. Step 6: Final answer
    x = 772,007.75

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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.