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Finding the Third Proportional to 145,110 and 219,855

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Solution

The third proportional to 145,110 and 219,855 is: 333,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,110 : 219,855 = 219,855 : x
  2. Step 2: Convert to fraction form
    145,110/219,855 = 219,855/x
  3. Step 3: Cross multiply
    145,110x = 219,855 × 219,855
  4. Step 4: Simplify right side
    145,110x = 48,336,221,025
  5. Step 5: Solve for x
    x = 48,336,221,025/145,110
  6. Step 6: Final answer
    x = 333,100.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.