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Finding the Third Proportional to 240,159 and 376,721

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Solution

The third proportional to 240,159 and 376,721 is: 590,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,159 : 376,721 = 376,721 : x
  2. Step 2: Convert to fraction form
    240,159/376,721 = 376,721/x
  3. Step 3: Cross multiply
    240,159x = 376,721 × 376,721
  4. Step 4: Simplify right side
    240,159x = 141,918,711,841
  5. Step 5: Solve for x
    x = 141,918,711,841/240,159
  6. Step 6: Final answer
    x = 590,936.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.