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Finding the Third Proportional to 165,194 and 360,730

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Solution

The third proportional to 165,194 and 360,730 is: 787,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,194 : 360,730 = 360,730 : x
  2. Step 2: Convert to fraction form
    165,194/360,730 = 360,730/x
  3. Step 3: Cross multiply
    165,194x = 360,730 × 360,730
  4. Step 4: Simplify right side
    165,194x = 130,126,132,900
  5. Step 5: Solve for x
    x = 130,126,132,900/165,194
  6. Step 6: Final answer
    x = 787,717.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.