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Finding the Third Proportional to 159,250.50 and 346,599

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Solution

The third proportional to 159,250.50 and 346,599 is: 754,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,250.50 : 346,599 = 346,599 : x
  2. Step 2: Convert to fraction form
    159,250.50/346,599 = 346,599/x
  3. Step 3: Cross multiply
    159,250.50x = 346,599 × 346,599
  4. Step 4: Simplify right side
    159,250.50x = 120,130,866,801
  5. Step 5: Solve for x
    x = 120,130,866,801/159,250.50
  6. Step 6: Final answer
    x = 754,351.58

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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.