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Finding the Third Proportional to 162,465 and 356,314.50

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Solution

The third proportional to 162,465 and 356,314.50 is: 781,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,465 : 356,314.50 = 356,314.50 : x
  2. Step 2: Convert to fraction form
    162,465/356,314.50 = 356,314.50/x
  3. Step 3: Cross multiply
    162,465x = 356,314.50 × 356,314.50
  4. Step 4: Simplify right side
    162,465x = 126,960,022,910.25
  5. Step 5: Solve for x
    x = 126,960,022,910.25/162,465
  6. Step 6: Final answer
    x = 781,460.76

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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.