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Finding the Third Proportional to 149,597 and 322,975

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Solution

The third proportional to 149,597 and 322,975 is: 697,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,597 : 322,975 = 322,975 : x
  2. Step 2: Convert to fraction form
    149,597/322,975 = 322,975/x
  3. Step 3: Cross multiply
    149,597x = 322,975 × 322,975
  4. Step 4: Simplify right side
    149,597x = 104,312,850,625
  5. Step 5: Solve for x
    x = 104,312,850,625/149,597
  6. Step 6: Final answer
    x = 697,292.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.