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Finding the Third Proportional to 155,540 and 230,030

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Solution

The third proportional to 155,540 and 230,030 is: 340,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,540 : 230,030 = 230,030 : x
  2. Step 2: Convert to fraction form
    155,540/230,030 = 230,030/x
  3. Step 3: Cross multiply
    155,540x = 230,030 × 230,030
  4. Step 4: Simplify right side
    155,540x = 52,913,800,900
  5. Step 5: Solve for x
    x = 52,913,800,900/155,540
  6. Step 6: Final answer
    x = 340,194.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.