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Finding the Third Proportional to 149,973.42 and 212,207.88

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Solution

The third proportional to 149,973.42 and 212,207.88 is: 300,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,973.42 : 212,207.88 = 212,207.88 : x
  2. Step 2: Convert to fraction form
    149,973.42/212,207.88 = 212,207.88/x
  3. Step 3: Cross multiply
    149,973.42x = 212,207.88 × 212,207.88
  4. Step 4: Simplify right side
    149,973.42x = 45,032,183,351.81
  5. Step 5: Solve for x
    x = 45,032,183,351.81/149,973.42
  6. Step 6: Final answer
    x = 300,267.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.