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Finding the Third Proportional to 229,037.63 and 336,717

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Solution

The third proportional to 229,037.63 and 336,717 is: 495,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,037.63 : 336,717 = 336,717 : x
  2. Step 2: Convert to fraction form
    229,037.63/336,717 = 336,717/x
  3. Step 3: Cross multiply
    229,037.63x = 336,717 × 336,717
  4. Step 4: Simplify right side
    229,037.63x = 113,378,338,089
  5. Step 5: Solve for x
    x = 113,378,338,089/229,037.63
  6. Step 6: Final answer
    x = 495,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.