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Finding the Third Proportional to 200,881.13 and 303,913.88

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Solution

The third proportional to 200,881.13 and 303,913.88 is: 459,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,881.13 : 303,913.88 = 303,913.88 : x
  2. Step 2: Convert to fraction form
    200,881.13/303,913.88 = 303,913.88/x
  3. Step 3: Cross multiply
    200,881.13x = 303,913.88 × 303,913.88
  4. Step 4: Simplify right side
    200,881.13x = 92,363,643,417.52
  5. Step 5: Solve for x
    x = 92,363,643,417.52/200,881.13
  6. Step 6: Final answer
    x = 459,792.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.