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Finding the Third Proportional to 203,148 and 304,732.13

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Solution

The third proportional to 203,148 and 304,732.13 is: 457,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,148 : 304,732.13 = 304,732.13 : x
  2. Step 2: Convert to fraction form
    203,148/304,732.13 = 304,732.13/x
  3. Step 3: Cross multiply
    203,148x = 304,732.13 × 304,732.13
  4. Step 4: Simplify right side
    203,148x = 92,861,668,007.02
  5. Step 5: Solve for x
    x = 92,861,668,007.02/203,148
  6. Step 6: Final answer
    x = 457,113.38

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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.