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Finding the Third Proportional to 194,897.06 and 291,551.06

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Solution

The third proportional to 194,897.06 and 291,551.06 is: 436,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,897.06 : 291,551.06 = 291,551.06 : x
  2. Step 2: Convert to fraction form
    194,897.06/291,551.06 = 291,551.06/x
  3. Step 3: Cross multiply
    194,897.06x = 291,551.06 × 291,551.06
  4. Step 4: Simplify right side
    194,897.06x = 85,002,022,044.88
  5. Step 5: Solve for x
    x = 85,002,022,044.88/194,897.06
  6. Step 6: Final answer
    x = 436,138.04

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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.