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Finding the Third Proportional to 231,527 and 356,516.50

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Solution

The third proportional to 231,527 and 356,516.50 is: 548,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,527 : 356,516.50 = 356,516.50 : x
  2. Step 2: Convert to fraction form
    231,527/356,516.50 = 356,516.50/x
  3. Step 3: Cross multiply
    231,527x = 356,516.50 × 356,516.50
  4. Step 4: Simplify right side
    231,527x = 127,104,014,772.25
  5. Step 5: Solve for x
    x = 127,104,014,772.25/231,527
  6. Step 6: Final answer
    x = 548,981.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.