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Finding the Third Proportional to 151,024 and 322,768

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Solution

The third proportional to 151,024 and 322,768 is: 689,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,024 : 322,768 = 322,768 : x
  2. Step 2: Convert to fraction form
    151,024/322,768 = 322,768/x
  3. Step 3: Cross multiply
    151,024x = 322,768 × 322,768
  4. Step 4: Simplify right side
    151,024x = 104,179,181,824
  5. Step 5: Solve for x
    x = 104,179,181,824/151,024
  6. Step 6: Final answer
    x = 689,818.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.