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Finding the Third Proportional to 165,747 and 362,840

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Solution

The third proportional to 165,747 and 362,840 is: 794,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,747 : 362,840 = 362,840 : x
  2. Step 2: Convert to fraction form
    165,747/362,840 = 362,840/x
  3. Step 3: Cross multiply
    165,747x = 362,840 × 362,840
  4. Step 4: Simplify right side
    165,747x = 131,652,865,600
  5. Step 5: Solve for x
    x = 131,652,865,600/165,747
  6. Step 6: Final answer
    x = 794,300.14

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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.