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Finding the Third Proportional to 162,699 and 352,771.50

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Solution

The third proportional to 162,699 and 352,771.50 is: 764,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,699 : 352,771.50 = 352,771.50 : x
  2. Step 2: Convert to fraction form
    162,699/352,771.50 = 352,771.50/x
  3. Step 3: Cross multiply
    162,699x = 352,771.50 × 352,771.50
  4. Step 4: Simplify right side
    162,699x = 124,447,731,212.25
  5. Step 5: Solve for x
    x = 124,447,731,212.25/162,699
  6. Step 6: Final answer
    x = 764,895.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.