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Finding the Third Proportional to 154,086 and 336,528

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Solution

The third proportional to 154,086 and 336,528 is: 734,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,086 : 336,528 = 336,528 : x
  2. Step 2: Convert to fraction form
    154,086/336,528 = 336,528/x
  3. Step 3: Cross multiply
    154,086x = 336,528 × 336,528
  4. Step 4: Simplify right side
    154,086x = 113,251,094,784
  5. Step 5: Solve for x
    x = 113,251,094,784/154,086
  6. Step 6: Final answer
    x = 734,986.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.