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Finding the Third Proportional to 205,038.84 and 276,020.16

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Solution

The third proportional to 205,038.84 and 276,020.16 is: 371,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.84 : 276,020.16 = 276,020.16 : x
  2. Step 2: Convert to fraction form
    205,038.84/276,020.16 = 276,020.16/x
  3. Step 3: Cross multiply
    205,038.84x = 276,020.16 × 276,020.16
  4. Step 4: Simplify right side
    205,038.84x = 76,187,126,656.27
  5. Step 5: Solve for x
    x = 76,187,126,656.27/205,038.84
  6. Step 6: Final answer
    x = 371,574.11

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Why These Related Problems?

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