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Finding the Third Proportional to 145,184 and 319,796

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Solution

The third proportional to 145,184 and 319,796 is: 704,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,184 : 319,796 = 319,796 : x
  2. Step 2: Convert to fraction form
    145,184/319,796 = 319,796/x
  3. Step 3: Cross multiply
    145,184x = 319,796 × 319,796
  4. Step 4: Simplify right side
    145,184x = 102,269,481,616
  5. Step 5: Solve for x
    x = 102,269,481,616/145,184
  6. Step 6: Final answer
    x = 704,412.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.