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Finding the Third Proportional to 165,952 and 364,152

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Solution

The third proportional to 165,952 and 364,152 is: 799,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,952 : 364,152 = 364,152 : x
  2. Step 2: Convert to fraction form
    165,952/364,152 = 364,152/x
  3. Step 3: Cross multiply
    165,952x = 364,152 × 364,152
  4. Step 4: Simplify right side
    165,952x = 132,606,679,104
  5. Step 5: Solve for x
    x = 132,606,679,104/165,952
  6. Step 6: Final answer
    x = 799,066.47

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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.