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Finding the Third Proportional to 162,471 and 362,298

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Solution

The third proportional to 162,471 and 362,298 is: 807,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,471 : 362,298 = 362,298 : x
  2. Step 2: Convert to fraction form
    162,471/362,298 = 362,298/x
  3. Step 3: Cross multiply
    162,471x = 362,298 × 362,298
  4. Step 4: Simplify right side
    162,471x = 131,259,840,804
  5. Step 5: Solve for x
    x = 131,259,840,804/162,471
  6. Step 6: Final answer
    x = 807,897.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.