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Finding the Third Proportional to 194,805.38 and 291,423.94

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Solution

The third proportional to 194,805.38 and 291,423.94 is: 435,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.38 : 291,423.94 = 291,423.94 : x
  2. Step 2: Convert to fraction form
    194,805.38/291,423.94 = 291,423.94/x
  3. Step 3: Cross multiply
    194,805.38x = 291,423.94 × 291,423.94
  4. Step 4: Simplify right side
    194,805.38x = 84,927,911,348.00
  5. Step 5: Solve for x
    x = 84,927,911,348.00/194,805.38
  6. Step 6: Final answer
    x = 435,962.87

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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.