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Finding the Third Proportional to 200,083 and 305,206.50

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Solution

The third proportional to 200,083 and 305,206.50 is: 465,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083 : 305,206.50 = 305,206.50 : x
  2. Step 2: Convert to fraction form
    200,083/305,206.50 = 305,206.50/x
  3. Step 3: Cross multiply
    200,083x = 305,206.50 × 305,206.50
  4. Step 4: Simplify right side
    200,083x = 93,151,007,642.25
  5. Step 5: Solve for x
    x = 93,151,007,642.25/200,083
  6. Step 6: Final answer
    x = 465,561.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.