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Finding the Third Proportional to 152,836.69 and 335,197.88

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Solution

The third proportional to 152,836.69 and 335,197.88 is: 735,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,836.69 : 335,197.88 = 335,197.88 : x
  2. Step 2: Convert to fraction form
    152,836.69/335,197.88 = 335,197.88/x
  3. Step 3: Cross multiply
    152,836.69x = 335,197.88 × 335,197.88
  4. Step 4: Simplify right side
    152,836.69x = 112,357,615,404.52
  5. Step 5: Solve for x
    x = 112,357,615,404.52/152,836.69
  6. Step 6: Final answer
    x = 735,148.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.