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Finding the Third Proportional to 165,747 and 362,842

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Solution

The third proportional to 165,747 and 362,842 is: 794,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,747 : 362,842 = 362,842 : x
  2. Step 2: Convert to fraction form
    165,747/362,842 = 362,842/x
  3. Step 3: Cross multiply
    165,747x = 362,842 × 362,842
  4. Step 4: Simplify right side
    165,747x = 131,654,316,964
  5. Step 5: Solve for x
    x = 131,654,316,964/165,747
  6. Step 6: Final answer
    x = 794,308.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.