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Finding the Third Proportional to 200,941.69 and 433,433.58

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Solution

The third proportional to 200,941.69 and 433,433.58 is: 934,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941.69 : 433,433.58 = 433,433.58 : x
  2. Step 2: Convert to fraction form
    200,941.69/433,433.58 = 433,433.58/x
  3. Step 3: Cross multiply
    200,941.69x = 433,433.58 × 433,433.58
  4. Step 4: Simplify right side
    200,941.69x = 187,864,666,646.24
  5. Step 5: Solve for x
    x = 187,864,666,646.24/200,941.69
  6. Step 6: Final answer
    x = 934,921.31

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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.