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Finding the Third Proportional to 165,769 and 357,746

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Solution

The third proportional to 165,769 and 357,746 is: 772,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,769 : 357,746 = 357,746 : x
  2. Step 2: Convert to fraction form
    165,769/357,746 = 357,746/x
  3. Step 3: Cross multiply
    165,769x = 357,746 × 357,746
  4. Step 4: Simplify right side
    165,769x = 127,982,200,516
  5. Step 5: Solve for x
    x = 127,982,200,516/165,769
  6. Step 6: Final answer
    x = 772,051.47

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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.