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Finding the Third Proportional to 226,358 and 339,564

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Solution

The third proportional to 226,358 and 339,564 is: 509,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,358 : 339,564 = 339,564 : x
  2. Step 2: Convert to fraction form
    226,358/339,564 = 339,564/x
  3. Step 3: Cross multiply
    226,358x = 339,564 × 339,564
  4. Step 4: Simplify right side
    226,358x = 115,303,710,096
  5. Step 5: Solve for x
    x = 115,303,710,096/226,358
  6. Step 6: Final answer
    x = 509,386.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.