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Finding the Third Proportional to 162,463.50 and 356,310

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Solution

The third proportional to 162,463.50 and 356,310 is: 781,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,463.50 : 356,310 = 356,310 : x
  2. Step 2: Convert to fraction form
    162,463.50/356,310 = 356,310/x
  3. Step 3: Cross multiply
    162,463.50x = 356,310 × 356,310
  4. Step 4: Simplify right side
    162,463.50x = 126,956,816,100
  5. Step 5: Solve for x
    x = 126,956,816,100/162,463.50
  6. Step 6: Final answer
    x = 781,448.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.