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Finding the Third Proportional to 203,472.63 and 299,328.54

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Solution

The third proportional to 203,472.63 and 299,328.54 is: 440,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472.63 : 299,328.54 = 299,328.54 : x
  2. Step 2: Convert to fraction form
    203,472.63/299,328.54 = 299,328.54/x
  3. Step 3: Cross multiply
    203,472.63x = 299,328.54 × 299,328.54
  4. Step 4: Simplify right side
    203,472.63x = 89,597,574,297.29
  5. Step 5: Solve for x
    x = 89,597,574,297.29/203,472.63
  6. Step 6: Final answer
    x = 440,342.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.