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Finding the Third Proportional to 227,730 and 340,340

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Solution

The third proportional to 227,730 and 340,340 is: 508,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730 : 340,340 = 340,340 : x
  2. Step 2: Convert to fraction form
    227,730/340,340 = 340,340/x
  3. Step 3: Cross multiply
    227,730x = 340,340 × 340,340
  4. Step 4: Simplify right side
    227,730x = 115,831,315,600
  5. Step 5: Solve for x
    x = 115,831,315,600/227,730
  6. Step 6: Final answer
    x = 508,634.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.