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Finding the Third Proportional to 153,617 and 319,497

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Solution

The third proportional to 153,617 and 319,497 is: 664,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,617 : 319,497 = 319,497 : x
  2. Step 2: Convert to fraction form
    153,617/319,497 = 319,497/x
  3. Step 3: Cross multiply
    153,617x = 319,497 × 319,497
  4. Step 4: Simplify right side
    153,617x = 102,078,333,009
  5. Step 5: Solve for x
    x = 102,078,333,009/153,617
  6. Step 6: Final answer
    x = 664,498.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.