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Finding the Third Proportional to 119,462 and 256,631.50

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Solution

The third proportional to 119,462 and 256,631.50 is: 551,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,462 : 256,631.50 = 256,631.50 : x
  2. Step 2: Convert to fraction form
    119,462/256,631.50 = 256,631.50/x
  3. Step 3: Cross multiply
    119,462x = 256,631.50 × 256,631.50
  4. Step 4: Simplify right side
    119,462x = 65,859,726,792.25
  5. Step 5: Solve for x
    x = 65,859,726,792.25/119,462
  6. Step 6: Final answer
    x = 551,302.73

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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.