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Finding the Third Proportional to 159,219 and 346,056

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Solution

The third proportional to 159,219 and 346,056 is: 752,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,219 : 346,056 = 346,056 : x
  2. Step 2: Convert to fraction form
    159,219/346,056 = 346,056/x
  3. Step 3: Cross multiply
    159,219x = 346,056 × 346,056
  4. Step 4: Simplify right side
    159,219x = 119,754,755,136
  5. Step 5: Solve for x
    x = 119,754,755,136/159,219
  6. Step 6: Final answer
    x = 752,138.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.