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Finding the Third Proportional to 155,251.69 and 219,677.06

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Solution

The third proportional to 155,251.69 and 219,677.06 is: 310,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,251.69 : 219,677.06 = 219,677.06 : x
  2. Step 2: Convert to fraction form
    155,251.69/219,677.06 = 219,677.06/x
  3. Step 3: Cross multiply
    155,251.69x = 219,677.06 × 219,677.06
  4. Step 4: Simplify right side
    155,251.69x = 48,258,011,788.63
  5. Step 5: Solve for x
    x = 48,258,011,788.63/155,251.69
  6. Step 6: Final answer
    x = 310,837.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.