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Finding the Third Proportional to 146,466 and 319,788

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Solution

The third proportional to 146,466 and 319,788 is: 698,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,466 : 319,788 = 319,788 : x
  2. Step 2: Convert to fraction form
    146,466/319,788 = 319,788/x
  3. Step 3: Cross multiply
    146,466x = 319,788 × 319,788
  4. Step 4: Simplify right side
    146,466x = 102,264,364,944
  5. Step 5: Solve for x
    x = 102,264,364,944/146,466
  6. Step 6: Final answer
    x = 698,212.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.