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Finding the Third Proportional to 165,377 and 362,283

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Solution

The third proportional to 165,377 and 362,283 is: 793,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,377 : 362,283 = 362,283 : x
  2. Step 2: Convert to fraction form
    165,377/362,283 = 362,283/x
  3. Step 3: Cross multiply
    165,377x = 362,283 × 362,283
  4. Step 4: Simplify right side
    165,377x = 131,248,972,089
  5. Step 5: Solve for x
    x = 131,248,972,089/165,377
  6. Step 6: Final answer
    x = 793,634.98

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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.