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Finding the Third Proportional to 149,322.75 and 231,207

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Solution

The third proportional to 149,322.75 and 231,207 is: 357,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322.75 : 231,207 = 231,207 : x
  2. Step 2: Convert to fraction form
    149,322.75/231,207 = 231,207/x
  3. Step 3: Cross multiply
    149,322.75x = 231,207 × 231,207
  4. Step 4: Simplify right side
    149,322.75x = 53,456,676,849
  5. Step 5: Solve for x
    x = 53,456,676,849/149,322.75
  6. Step 6: Final answer
    x = 357,994.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.