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Finding the Third Proportional to 188,262 and 293,508

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Solution

The third proportional to 188,262 and 293,508 is: 457,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,262 : 293,508 = 293,508 : x
  2. Step 2: Convert to fraction form
    188,262/293,508 = 293,508/x
  3. Step 3: Cross multiply
    188,262x = 293,508 × 293,508
  4. Step 4: Simplify right side
    188,262x = 86,146,946,064
  5. Step 5: Solve for x
    x = 86,146,946,064/188,262
  6. Step 6: Final answer
    x = 457,590.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.