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Finding the Third Proportional to 205,238 and 307,032

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Solution

The third proportional to 205,238 and 307,032 is: 459,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,238 : 307,032 = 307,032 : x
  2. Step 2: Convert to fraction form
    205,238/307,032 = 307,032/x
  3. Step 3: Cross multiply
    205,238x = 307,032 × 307,032
  4. Step 4: Simplify right side
    205,238x = 94,268,649,024
  5. Step 5: Solve for x
    x = 94,268,649,024/205,238
  6. Step 6: Final answer
    x = 459,313.82

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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.