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Finding the Third Proportional to 141,701 and 299,397

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Solution

The third proportional to 141,701 and 299,397 is: 632,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,701 : 299,397 = 299,397 : x
  2. Step 2: Convert to fraction form
    141,701/299,397 = 299,397/x
  3. Step 3: Cross multiply
    141,701x = 299,397 × 299,397
  4. Step 4: Simplify right side
    141,701x = 89,638,563,609
  5. Step 5: Solve for x
    x = 89,638,563,609/141,701
  6. Step 6: Final answer
    x = 632,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.