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Finding the Third Proportional to 162,496 and 362,334.50

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Solution

The third proportional to 162,496 and 362,334.50 is: 807,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,496 : 362,334.50 = 362,334.50 : x
  2. Step 2: Convert to fraction form
    162,496/362,334.50 = 362,334.50/x
  3. Step 3: Cross multiply
    162,496x = 362,334.50 × 362,334.50
  4. Step 4: Simplify right side
    162,496x = 131,286,289,890.25
  5. Step 5: Solve for x
    x = 131,286,289,890.25/162,496
  6. Step 6: Final answer
    x = 807,935.52

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.