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Finding the Third Proportional to 194,339 and 418,486

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Solution

The third proportional to 194,339 and 418,486 is: 901,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,339 : 418,486 = 418,486 : x
  2. Step 2: Convert to fraction form
    194,339/418,486 = 418,486/x
  3. Step 3: Cross multiply
    194,339x = 418,486 × 418,486
  4. Step 4: Simplify right side
    194,339x = 175,130,532,196
  5. Step 5: Solve for x
    x = 175,130,532,196/194,339
  6. Step 6: Final answer
    x = 901,159.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.