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Finding the Third Proportional to 227,400 and 348,030

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Solution

The third proportional to 227,400 and 348,030 is: 532,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,400 : 348,030 = 348,030 : x
  2. Step 2: Convert to fraction form
    227,400/348,030 = 348,030/x
  3. Step 3: Cross multiply
    227,400x = 348,030 × 348,030
  4. Step 4: Simplify right side
    227,400x = 121,124,880,900
  5. Step 5: Solve for x
    x = 121,124,880,900/227,400
  6. Step 6: Final answer
    x = 532,651.19

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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.