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Finding the Third Proportional to 239,824 and 369,056

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Solution

The third proportional to 239,824 and 369,056 is: 567,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,824 : 369,056 = 369,056 : x
  2. Step 2: Convert to fraction form
    239,824/369,056 = 369,056/x
  3. Step 3: Cross multiply
    239,824x = 369,056 × 369,056
  4. Step 4: Simplify right side
    239,824x = 136,202,331,136
  5. Step 5: Solve for x
    x = 136,202,331,136/239,824
  6. Step 6: Final answer
    x = 567,926.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.