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Finding the Third Proportional to 228,895.88 and 514,083.38

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Solution

The third proportional to 228,895.88 and 514,083.38 is: 1,154,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,895.88 : 514,083.38 = 514,083.38 : x
  2. Step 2: Convert to fraction form
    228,895.88/514,083.38 = 514,083.38/x
  3. Step 3: Cross multiply
    228,895.88x = 514,083.38 × 514,083.38
  4. Step 4: Simplify right side
    228,895.88x = 264,281,716,451.39
  5. Step 5: Solve for x
    x = 264,281,716,451.39/228,895.88
  6. Step 6: Final answer
    x = 1,154,593.62

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.