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Finding the Third Proportional to 194,435 and 299,943

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Solution

The third proportional to 194,435 and 299,943 is: 462,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,435 : 299,943 = 299,943 : x
  2. Step 2: Convert to fraction form
    194,435/299,943 = 299,943/x
  3. Step 3: Cross multiply
    194,435x = 299,943 × 299,943
  4. Step 4: Simplify right side
    194,435x = 89,965,803,249
  5. Step 5: Solve for x
    x = 89,965,803,249/194,435
  6. Step 6: Final answer
    x = 462,703.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.