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Finding the Third Proportional to 224,328 and 344,808

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Solution

The third proportional to 224,328 and 344,808 is: 529,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,328 : 344,808 = 344,808 : x
  2. Step 2: Convert to fraction form
    224,328/344,808 = 344,808/x
  3. Step 3: Cross multiply
    224,328x = 344,808 × 344,808
  4. Step 4: Simplify right side
    224,328x = 118,892,556,864
  5. Step 5: Solve for x
    x = 118,892,556,864/224,328
  6. Step 6: Final answer
    x = 529,994.28

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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.