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Finding the Third Proportional to 133,023 and 199,528.50

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Solution

The third proportional to 133,023 and 199,528.50 is: 299,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023 : 199,528.50 = 199,528.50 : x
  2. Step 2: Convert to fraction form
    133,023/199,528.50 = 199,528.50/x
  3. Step 3: Cross multiply
    133,023x = 199,528.50 × 199,528.50
  4. Step 4: Simplify right side
    133,023x = 39,811,622,312.25
  5. Step 5: Solve for x
    x = 39,811,622,312.25/133,023
  6. Step 6: Final answer
    x = 299,283.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.