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Finding the Third Proportional to 225,097 and 343,363

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Solution

The third proportional to 225,097 and 343,363 is: 523,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,097 : 343,363 = 343,363 : x
  2. Step 2: Convert to fraction form
    225,097/343,363 = 343,363/x
  3. Step 3: Cross multiply
    225,097x = 343,363 × 343,363
  4. Step 4: Simplify right side
    225,097x = 117,898,149,769
  5. Step 5: Solve for x
    x = 117,898,149,769/225,097
  6. Step 6: Final answer
    x = 523,765.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.