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Finding the Third Proportional to 200,973.66 and 431,087.34

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Solution

The third proportional to 200,973.66 and 431,087.34 is: 924,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,973.66 : 431,087.34 = 431,087.34 : x
  2. Step 2: Convert to fraction form
    200,973.66/431,087.34 = 431,087.34/x
  3. Step 3: Cross multiply
    200,973.66x = 431,087.34 × 431,087.34
  4. Step 4: Simplify right side
    200,973.66x = 185,836,297,941.43
  5. Step 5: Solve for x
    x = 185,836,297,941.43/200,973.66
  6. Step 6: Final answer
    x = 924,679.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.