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Finding the Third Proportional to 163,083 and 269,908.50

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Solution

The third proportional to 163,083 and 269,908.50 is: 446,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,083 : 269,908.50 = 269,908.50 : x
  2. Step 2: Convert to fraction form
    163,083/269,908.50 = 269,908.50/x
  3. Step 3: Cross multiply
    163,083x = 269,908.50 × 269,908.50
  4. Step 4: Simplify right side
    163,083x = 72,850,598,372.25
  5. Step 5: Solve for x
    x = 72,850,598,372.25/163,083
  6. Step 6: Final answer
    x = 446,708.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.