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Finding the Third Proportional to 203,939.25 and 286,681.50

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Solution

The third proportional to 203,939.25 and 286,681.50 is: 402,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,939.25 : 286,681.50 = 286,681.50 : x
  2. Step 2: Convert to fraction form
    203,939.25/286,681.50 = 286,681.50/x
  3. Step 3: Cross multiply
    203,939.25x = 286,681.50 × 286,681.50
  4. Step 4: Simplify right side
    203,939.25x = 82,186,282,442.25
  5. Step 5: Solve for x
    x = 82,186,282,442.25/203,939.25
  6. Step 6: Final answer
    x = 402,993.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.