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Finding the Third Proportional to 158,643 and 332,850

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Solution

The third proportional to 158,643 and 332,850 is: 698,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,643 : 332,850 = 332,850 : x
  2. Step 2: Convert to fraction form
    158,643/332,850 = 332,850/x
  3. Step 3: Cross multiply
    158,643x = 332,850 × 332,850
  4. Step 4: Simplify right side
    158,643x = 110,789,122,500
  5. Step 5: Solve for x
    x = 110,789,122,500/158,643
  6. Step 6: Final answer
    x = 698,354.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.