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Finding the Third Proportional to 239,373 and 364,033.13

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Solution

The third proportional to 239,373 and 364,033.13 is: 553,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,373 : 364,033.13 = 364,033.13 : x
  2. Step 2: Convert to fraction form
    239,373/364,033.13 = 364,033.13/x
  3. Step 3: Cross multiply
    239,373x = 364,033.13 × 364,033.13
  4. Step 4: Simplify right side
    239,373x = 132,520,116,097.27
  5. Step 5: Solve for x
    x = 132,520,116,097.27/239,373
  6. Step 6: Final answer
    x = 553,613.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.