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Finding the Third Proportional to 145,143 and 219,901

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Solution

The third proportional to 145,143 and 219,901 is: 333,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143 : 219,901 = 219,901 : x
  2. Step 2: Convert to fraction form
    145,143/219,901 = 219,901/x
  3. Step 3: Cross multiply
    145,143x = 219,901 × 219,901
  4. Step 4: Simplify right side
    145,143x = 48,356,449,801
  5. Step 5: Solve for x
    x = 48,356,449,801/145,143
  6. Step 6: Final answer
    x = 333,164.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.