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Finding the Third Proportional to 203,688 and 299,295

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Solution

The third proportional to 203,688 and 299,295 is: 439,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,688 : 299,295 = 299,295 : x
  2. Step 2: Convert to fraction form
    203,688/299,295 = 299,295/x
  3. Step 3: Cross multiply
    203,688x = 299,295 × 299,295
  4. Step 4: Simplify right side
    203,688x = 89,577,497,025
  5. Step 5: Solve for x
    x = 89,577,497,025/203,688
  6. Step 6: Final answer
    x = 439,777.98

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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.