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Finding the Third Proportional to 169,332 and 364,152

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Solution

The third proportional to 169,332 and 364,152 is: 783,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,332 : 364,152 = 364,152 : x
  2. Step 2: Convert to fraction form
    169,332/364,152 = 364,152/x
  3. Step 3: Cross multiply
    169,332x = 364,152 × 364,152
  4. Step 4: Simplify right side
    169,332x = 132,606,679,104
  5. Step 5: Solve for x
    x = 132,606,679,104/169,332
  6. Step 6: Final answer
    x = 783,116.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.