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Finding the Third Proportional to 194,919 and 291,585.75

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Solution

The third proportional to 194,919 and 291,585.75 is: 436,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,919 : 291,585.75 = 291,585.75 : x
  2. Step 2: Convert to fraction form
    194,919/291,585.75 = 291,585.75/x
  3. Step 3: Cross multiply
    194,919x = 291,585.75 × 291,585.75
  4. Step 4: Simplify right side
    194,919x = 85,022,249,603.06
  5. Step 5: Solve for x
    x = 85,022,249,603.06/194,919
  6. Step 6: Final answer
    x = 436,192.72

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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.