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Finding the Third Proportional to 159,539 and 348,056

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Solution

The third proportional to 159,539 and 348,056 is: 759,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,539 : 348,056 = 348,056 : x
  2. Step 2: Convert to fraction form
    159,539/348,056 = 348,056/x
  3. Step 3: Cross multiply
    159,539x = 348,056 × 348,056
  4. Step 4: Simplify right side
    159,539x = 121,142,979,136
  5. Step 5: Solve for x
    x = 121,142,979,136/159,539
  6. Step 6: Final answer
    x = 759,331.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.