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Finding the Third Proportional to 169,253 and 364,956

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Solution

The third proportional to 169,253 and 364,956 is: 786,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,253 : 364,956 = 364,956 : x
  2. Step 2: Convert to fraction form
    169,253/364,956 = 364,956/x
  3. Step 3: Cross multiply
    169,253x = 364,956 × 364,956
  4. Step 4: Simplify right side
    169,253x = 133,192,881,936
  5. Step 5: Solve for x
    x = 133,192,881,936/169,253
  6. Step 6: Final answer
    x = 786,945.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.