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Finding the Third Proportional to 167,006 and 294,340

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Solution

The third proportional to 167,006 and 294,340 is: 518,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,006 : 294,340 = 294,340 : x
  2. Step 2: Convert to fraction form
    167,006/294,340 = 294,340/x
  3. Step 3: Cross multiply
    167,006x = 294,340 × 294,340
  4. Step 4: Simplify right side
    167,006x = 86,636,035,600
  5. Step 5: Solve for x
    x = 86,636,035,600/167,006
  6. Step 6: Final answer
    x = 518,760.02

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.