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Finding the Third Proportional to 169,427 and 368,365

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Solution

The third proportional to 169,427 and 368,365 is: 800,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,427 : 368,365 = 368,365 : x
  2. Step 2: Convert to fraction form
    169,427/368,365 = 368,365/x
  3. Step 3: Cross multiply
    169,427x = 368,365 × 368,365
  4. Step 4: Simplify right side
    169,427x = 135,692,773,225
  5. Step 5: Solve for x
    x = 135,692,773,225/169,427
  6. Step 6: Final answer
    x = 800,892.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.