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Finding the Third Proportional to 165,825 and 358,068

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Solution

The third proportional to 165,825 and 358,068 is: 773,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,825 : 358,068 = 358,068 : x
  2. Step 2: Convert to fraction form
    165,825/358,068 = 358,068/x
  3. Step 3: Cross multiply
    165,825x = 358,068 × 358,068
  4. Step 4: Simplify right side
    165,825x = 128,212,692,624
  5. Step 5: Solve for x
    x = 128,212,692,624/165,825
  6. Step 6: Final answer
    x = 773,180.72

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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.