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Finding the Third Proportional to 145,443 and 304,128

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Solution

The third proportional to 145,443 and 304,128 is: 635,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,443 : 304,128 = 304,128 : x
  2. Step 2: Convert to fraction form
    145,443/304,128 = 304,128/x
  3. Step 3: Cross multiply
    145,443x = 304,128 × 304,128
  4. Step 4: Simplify right side
    145,443x = 92,493,840,384
  5. Step 5: Solve for x
    x = 92,493,840,384/145,443
  6. Step 6: Final answer
    x = 635,945.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.