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Finding the Third Proportional to 200,045.25 and 434,432.25

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Solution

The third proportional to 200,045.25 and 434,432.25 is: 943,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,045.25 : 434,432.25 = 434,432.25 : x
  2. Step 2: Convert to fraction form
    200,045.25/434,432.25 = 434,432.25/x
  3. Step 3: Cross multiply
    200,045.25x = 434,432.25 × 434,432.25
  4. Step 4: Simplify right side
    200,045.25x = 188,731,379,840.06
  5. Step 5: Solve for x
    x = 188,731,379,840.06/200,045.25
  6. Step 6: Final answer
    x = 943,443.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.