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Finding the Third Proportional to 194,484 and 291,924

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Solution

The third proportional to 194,484 and 291,924 is: 438,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,484 : 291,924 = 291,924 : x
  2. Step 2: Convert to fraction form
    194,484/291,924 = 291,924/x
  3. Step 3: Cross multiply
    194,484x = 291,924 × 291,924
  4. Step 4: Simplify right side
    194,484x = 85,219,621,776
  5. Step 5: Solve for x
    x = 85,219,621,776/194,484
  6. Step 6: Final answer
    x = 438,183.20

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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.