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Finding the Third Proportional to 196,176 and 293,454

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Solution

The third proportional to 196,176 and 293,454 is: 438,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,176 : 293,454 = 293,454 : x
  2. Step 2: Convert to fraction form
    196,176/293,454 = 293,454/x
  3. Step 3: Cross multiply
    196,176x = 293,454 × 293,454
  4. Step 4: Simplify right side
    196,176x = 86,115,250,116
  5. Step 5: Solve for x
    x = 86,115,250,116/196,176
  6. Step 6: Final answer
    x = 438,969.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.