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Finding the Third Proportional to 149,783 and 325,810

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Solution

The third proportional to 149,783 and 325,810 is: 708,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,783 : 325,810 = 325,810 : x
  2. Step 2: Convert to fraction form
    149,783/325,810 = 325,810/x
  3. Step 3: Cross multiply
    149,783x = 325,810 × 325,810
  4. Step 4: Simplify right side
    149,783x = 106,152,156,100
  5. Step 5: Solve for x
    x = 106,152,156,100/149,783
  6. Step 6: Final answer
    x = 708,706.30

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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.