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Finding the Third Proportional to 165,774 and 357,756

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Solution

The third proportional to 165,774 and 357,756 is: 772,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,774 : 357,756 = 357,756 : x
  2. Step 2: Convert to fraction form
    165,774/357,756 = 357,756/x
  3. Step 3: Cross multiply
    165,774x = 357,756 × 357,756
  4. Step 4: Simplify right side
    165,774x = 127,989,355,536
  5. Step 5: Solve for x
    x = 127,989,355,536/165,774
  6. Step 6: Final answer
    x = 772,071.35

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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.