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Finding the Third Proportional to 141,322 and 303,117

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Solution

The third proportional to 141,322 and 303,117 is: 650,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,322 : 303,117 = 303,117 : x
  2. Step 2: Convert to fraction form
    141,322/303,117 = 303,117/x
  3. Step 3: Cross multiply
    141,322x = 303,117 × 303,117
  4. Step 4: Simplify right side
    141,322x = 91,879,915,689
  5. Step 5: Solve for x
    x = 91,879,915,689/141,322
  6. Step 6: Final answer
    x = 650,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.