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Finding the Third Proportional to 241,056 and 356,663.25

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Solution

The third proportional to 241,056 and 356,663.25 is: 527,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,056 : 356,663.25 = 356,663.25 : x
  2. Step 2: Convert to fraction form
    241,056/356,663.25 = 356,663.25/x
  3. Step 3: Cross multiply
    241,056x = 356,663.25 × 356,663.25
  4. Step 4: Simplify right side
    241,056x = 127,208,673,900.56
  5. Step 5: Solve for x
    x = 127,208,673,900.56/241,056
  6. Step 6: Final answer
    x = 527,714.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.