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Finding the Third Proportional to 141,367 and 304,875

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Solution

The third proportional to 141,367 and 304,875 is: 657,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,367 : 304,875 = 304,875 : x
  2. Step 2: Convert to fraction form
    141,367/304,875 = 304,875/x
  3. Step 3: Cross multiply
    141,367x = 304,875 × 304,875
  4. Step 4: Simplify right side
    141,367x = 92,948,765,625
  5. Step 5: Solve for x
    x = 92,948,765,625/141,367
  6. Step 6: Final answer
    x = 657,499.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.