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Finding the Third Proportional to 154,794.38 and 316,148.63

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Solution

The third proportional to 154,794.38 and 316,148.63 is: 645,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,794.38 : 316,148.63 = 316,148.63 : x
  2. Step 2: Convert to fraction form
    154,794.38/316,148.63 = 316,148.63/x
  3. Step 3: Cross multiply
    154,794.38x = 316,148.63 × 316,148.63
  4. Step 4: Simplify right side
    154,794.38x = 99,949,953,089.39
  5. Step 5: Solve for x
    x = 99,949,953,089.39/154,794.38
  6. Step 6: Final answer
    x = 645,694.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.