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Finding the Third Proportional to 205,284.38 and 326,895.75

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Solution

The third proportional to 205,284.38 and 326,895.75 is: 520,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284.38 : 326,895.75 = 326,895.75 : x
  2. Step 2: Convert to fraction form
    205,284.38/326,895.75 = 326,895.75/x
  3. Step 3: Cross multiply
    205,284.38x = 326,895.75 × 326,895.75
  4. Step 4: Simplify right side
    205,284.38x = 106,860,831,368.06
  5. Step 5: Solve for x
    x = 106,860,831,368.06/205,284.38
  6. Step 6: Final answer
    x = 520,550.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.