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Finding the Third Proportional to 196,416 and 300,331.13

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Solution

The third proportional to 196,416 and 300,331.13 is: 459,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,416 : 300,331.13 = 300,331.13 : x
  2. Step 2: Convert to fraction form
    196,416/300,331.13 = 300,331.13/x
  3. Step 3: Cross multiply
    196,416x = 300,331.13 × 300,331.13
  4. Step 4: Simplify right side
    196,416x = 90,198,784,643.77
  5. Step 5: Solve for x
    x = 90,198,784,643.77/196,416
  6. Step 6: Final answer
    x = 459,223.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.