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Finding the Third Proportional to 197,293.50 and 428,103

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Solution

The third proportional to 197,293.50 and 428,103 is: 928,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,293.50 : 428,103 = 428,103 : x
  2. Step 2: Convert to fraction form
    197,293.50/428,103 = 428,103/x
  3. Step 3: Cross multiply
    197,293.50x = 428,103 × 428,103
  4. Step 4: Simplify right side
    197,293.50x = 183,272,178,609
  5. Step 5: Solve for x
    x = 183,272,178,609/197,293.50
  6. Step 6: Final answer
    x = 928,931.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.