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Finding the Third Proportional to 194,803.88 and 291,421.69

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Solution

The third proportional to 194,803.88 and 291,421.69 is: 435,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,803.88 : 291,421.69 = 291,421.69 : x
  2. Step 2: Convert to fraction form
    194,803.88/291,421.69 = 291,421.69/x
  3. Step 3: Cross multiply
    194,803.88x = 291,421.69 × 291,421.69
  4. Step 4: Simplify right side
    194,803.88x = 84,926,599,945.35
  5. Step 5: Solve for x
    x = 84,926,599,945.35/194,803.88
  6. Step 6: Final answer
    x = 435,959.50

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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.