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Finding the Third Proportional to 191,787.75 and 293,518.69

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Solution

The third proportional to 191,787.75 and 293,518.69 is: 449,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,787.75 : 293,518.69 = 293,518.69 : x
  2. Step 2: Convert to fraction form
    191,787.75/293,518.69 = 293,518.69/x
  3. Step 3: Cross multiply
    191,787.75x = 293,518.69 × 293,518.69
  4. Step 4: Simplify right side
    191,787.75x = 86,153,219,911.72
  5. Step 5: Solve for x
    x = 86,153,219,911.72/191,787.75
  6. Step 6: Final answer
    x = 449,211.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.