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Finding the Third Proportional to 200,941.25 and 433,431.50

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Solution

The third proportional to 200,941.25 and 433,431.50 is: 934,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941.25 : 433,431.50 = 433,431.50 : x
  2. Step 2: Convert to fraction form
    200,941.25/433,431.50 = 433,431.50/x
  3. Step 3: Cross multiply
    200,941.25x = 433,431.50 × 433,431.50
  4. Step 4: Simplify right side
    200,941.25x = 187,862,865,192.25
  5. Step 5: Solve for x
    x = 187,862,865,192.25/200,941.25
  6. Step 6: Final answer
    x = 934,914.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.