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Finding the Third Proportional to 227,780 and 348,570

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Solution

The third proportional to 227,780 and 348,570 is: 533,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,780 : 348,570 = 348,570 : x
  2. Step 2: Convert to fraction form
    227,780/348,570 = 348,570/x
  3. Step 3: Cross multiply
    227,780x = 348,570 × 348,570
  4. Step 4: Simplify right side
    227,780x = 121,501,044,900
  5. Step 5: Solve for x
    x = 121,501,044,900/227,780
  6. Step 6: Final answer
    x = 533,414.02

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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.