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Finding the Third Proportional to 167,264 and 358,784

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Solution

The third proportional to 167,264 and 358,784 is: 769,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,264 : 358,784 = 358,784 : x
  2. Step 2: Convert to fraction form
    167,264/358,784 = 358,784/x
  3. Step 3: Cross multiply
    167,264x = 358,784 × 358,784
  4. Step 4: Simplify right side
    167,264x = 128,725,958,656
  5. Step 5: Solve for x
    x = 128,725,958,656/167,264
  6. Step 6: Final answer
    x = 769,597.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.