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Finding the Third Proportional to 164,202 and 352,960.50

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Solution

The third proportional to 164,202 and 352,960.50 is: 758,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,202 : 352,960.50 = 352,960.50 : x
  2. Step 2: Convert to fraction form
    164,202/352,960.50 = 352,960.50/x
  3. Step 3: Cross multiply
    164,202x = 352,960.50 × 352,960.50
  4. Step 4: Simplify right side
    164,202x = 124,581,114,560.25
  5. Step 5: Solve for x
    x = 124,581,114,560.25/164,202
  6. Step 6: Final answer
    x = 758,706.44

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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.