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Finding the Third Proportional to 131,264 and 202,008

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Solution

The third proportional to 131,264 and 202,008 is: 310,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,264 : 202,008 = 202,008 : x
  2. Step 2: Convert to fraction form
    131,264/202,008 = 202,008/x
  3. Step 3: Cross multiply
    131,264x = 202,008 × 202,008
  4. Step 4: Simplify right side
    131,264x = 40,807,232,064
  5. Step 5: Solve for x
    x = 40,807,232,064/131,264
  6. Step 6: Final answer
    x = 310,879.08

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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.