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Finding the Third Proportional to 152,262 and 327,804

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Solution

The third proportional to 152,262 and 327,804 is: 705,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262 : 327,804 = 327,804 : x
  2. Step 2: Convert to fraction form
    152,262/327,804 = 327,804/x
  3. Step 3: Cross multiply
    152,262x = 327,804 × 327,804
  4. Step 4: Simplify right side
    152,262x = 107,455,462,416
  5. Step 5: Solve for x
    x = 107,455,462,416/152,262
  6. Step 6: Final answer
    x = 705,727.38

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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.