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Finding the Third Proportional to 151,504 and 330,656

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Solution

The third proportional to 151,504 and 330,656 is: 721,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,504 : 330,656 = 330,656 : x
  2. Step 2: Convert to fraction form
    151,504/330,656 = 330,656/x
  3. Step 3: Cross multiply
    151,504x = 330,656 × 330,656
  4. Step 4: Simplify right side
    151,504x = 109,333,390,336
  5. Step 5: Solve for x
    x = 109,333,390,336/151,504
  6. Step 6: Final answer
    x = 721,653.49

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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.