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Finding the Third Proportional to 158,982 and 346,056

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Solution

The third proportional to 158,982 and 346,056 is: 753,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982 : 346,056 = 346,056 : x
  2. Step 2: Convert to fraction form
    158,982/346,056 = 346,056/x
  3. Step 3: Cross multiply
    158,982x = 346,056 × 346,056
  4. Step 4: Simplify right side
    158,982x = 119,754,755,136
  5. Step 5: Solve for x
    x = 119,754,755,136/158,982
  6. Step 6: Final answer
    x = 753,259.84

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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.