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Finding the Third Proportional to 165,678 and 357,582

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Solution

The third proportional to 165,678 and 357,582 is: 771,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,678 : 357,582 = 357,582 : x
  2. Step 2: Convert to fraction form
    165,678/357,582 = 357,582/x
  3. Step 3: Cross multiply
    165,678x = 357,582 × 357,582
  4. Step 4: Simplify right side
    165,678x = 127,864,886,724
  5. Step 5: Solve for x
    x = 127,864,886,724/165,678
  6. Step 6: Final answer
    x = 771,767.44

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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.