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Finding the Third Proportional to 238,056 and 350,472

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Solution

The third proportional to 238,056 and 350,472 is: 515,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,056 : 350,472 = 350,472 : x
  2. Step 2: Convert to fraction form
    238,056/350,472 = 350,472/x
  3. Step 3: Cross multiply
    238,056x = 350,472 × 350,472
  4. Step 4: Simplify right side
    238,056x = 122,830,622,784
  5. Step 5: Solve for x
    x = 122,830,622,784/238,056
  6. Step 6: Final answer
    x = 515,973.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.