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Finding the Third Proportional to 165,764 and 357,736

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Solution

The third proportional to 165,764 and 357,736 is: 772,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764 : 357,736 = 357,736 : x
  2. Step 2: Convert to fraction form
    165,764/357,736 = 357,736/x
  3. Step 3: Cross multiply
    165,764x = 357,736 × 357,736
  4. Step 4: Simplify right side
    165,764x = 127,975,045,696
  5. Step 5: Solve for x
    x = 127,975,045,696/165,764
  6. Step 6: Final answer
    x = 772,031.60

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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.