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Finding the Third Proportional to 141,444 and 309,132

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Solution

The third proportional to 141,444 and 309,132 is: 675,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,444 : 309,132 = 309,132 : x
  2. Step 2: Convert to fraction form
    141,444/309,132 = 309,132/x
  3. Step 3: Cross multiply
    141,444x = 309,132 × 309,132
  4. Step 4: Simplify right side
    141,444x = 95,562,593,424
  5. Step 5: Solve for x
    x = 95,562,593,424/141,444
  6. Step 6: Final answer
    x = 675,621.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.