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Finding the Third Proportional to 169,363.31 and 247,683.94

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Solution

The third proportional to 169,363.31 and 247,683.94 is: 362,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,363.31 : 247,683.94 = 247,683.94 : x
  2. Step 2: Convert to fraction form
    169,363.31/247,683.94 = 247,683.94/x
  3. Step 3: Cross multiply
    169,363.31x = 247,683.94 × 247,683.94
  4. Step 4: Simplify right side
    169,363.31x = 61,347,332,895.50
  5. Step 5: Solve for x
    x = 61,347,332,895.50/169,363.31
  6. Step 6: Final answer
    x = 362,223.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.