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Finding the Third Proportional to 164,500.88 and 360,419.63

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Solution

The third proportional to 164,500.88 and 360,419.63 is: 789,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500.88 : 360,419.63 = 360,419.63 : x
  2. Step 2: Convert to fraction form
    164,500.88/360,419.63 = 360,419.63/x
  3. Step 3: Cross multiply
    164,500.88x = 360,419.63 × 360,419.63
  4. Step 4: Simplify right side
    164,500.88x = 129,902,306,085.14
  5. Step 5: Solve for x
    x = 129,902,306,085.14/164,500.88
  6. Step 6: Final answer
    x = 789,675.47

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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.