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Finding the Third Proportional to 227,730 and 340,341

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Solution

The third proportional to 227,730 and 340,341 is: 508,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730 : 340,341 = 340,341 : x
  2. Step 2: Convert to fraction form
    227,730/340,341 = 340,341/x
  3. Step 3: Cross multiply
    227,730x = 340,341 × 340,341
  4. Step 4: Simplify right side
    227,730x = 115,831,996,281
  5. Step 5: Solve for x
    x = 115,831,996,281/227,730
  6. Step 6: Final answer
    x = 508,637.41

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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.