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Finding the Third Proportional to 213,962.34 and 331,130.53

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Solution

The third proportional to 213,962.34 and 331,130.53 is: 512,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,962.34 : 331,130.53 = 331,130.53 : x
  2. Step 2: Convert to fraction form
    213,962.34/331,130.53 = 331,130.53/x
  3. Step 3: Cross multiply
    213,962.34x = 331,130.53 × 331,130.53
  4. Step 4: Simplify right side
    213,962.34x = 109,647,428,725.91
  5. Step 5: Solve for x
    x = 109,647,428,725.91/213,962.34
  6. Step 6: Final answer
    x = 512,461.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.