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Finding the Third Proportional to 206,465.06 and 277,864.31

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Solution

The third proportional to 206,465.06 and 277,864.31 is: 373,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,465.06 : 277,864.31 = 277,864.31 : x
  2. Step 2: Convert to fraction form
    206,465.06/277,864.31 = 277,864.31/x
  3. Step 3: Cross multiply
    206,465.06x = 277,864.31 × 277,864.31
  4. Step 4: Simplify right side
    206,465.06x = 77,208,576,161.10
  5. Step 5: Solve for x
    x = 77,208,576,161.10/206,465.06
  6. Step 6: Final answer
    x = 373,954.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.