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Finding the Third Proportional to 147,336 and 226,598

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Solution

The third proportional to 147,336 and 226,598 is: 348,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,336 : 226,598 = 226,598 : x
  2. Step 2: Convert to fraction form
    147,336/226,598 = 226,598/x
  3. Step 3: Cross multiply
    147,336x = 226,598 × 226,598
  4. Step 4: Simplify right side
    147,336x = 51,346,653,604
  5. Step 5: Solve for x
    x = 51,346,653,604/147,336
  6. Step 6: Final answer
    x = 348,500.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.