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Finding the Third Proportional to 144,369 and 297,891

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Solution

The third proportional to 144,369 and 297,891 is: 614,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,369 : 297,891 = 297,891 : x
  2. Step 2: Convert to fraction form
    144,369/297,891 = 297,891/x
  3. Step 3: Cross multiply
    144,369x = 297,891 × 297,891
  4. Step 4: Simplify right side
    144,369x = 88,739,047,881
  5. Step 5: Solve for x
    x = 88,739,047,881/144,369
  6. Step 6: Final answer
    x = 614,668.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.