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Finding the Third Proportional to 165,676 and 357,789

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Solution

The third proportional to 165,676 and 357,789 is: 772,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,676 : 357,789 = 357,789 : x
  2. Step 2: Convert to fraction form
    165,676/357,789 = 357,789/x
  3. Step 3: Cross multiply
    165,676x = 357,789 × 357,789
  4. Step 4: Simplify right side
    165,676x = 128,012,968,521
  5. Step 5: Solve for x
    x = 128,012,968,521/165,676
  6. Step 6: Final answer
    x = 772,670.56

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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.