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Finding the Third Proportional to 234,056 and 340,460

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Solution

The third proportional to 234,056 and 340,460 is: 495,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,056 : 340,460 = 340,460 : x
  2. Step 2: Convert to fraction form
    234,056/340,460 = 340,460/x
  3. Step 3: Cross multiply
    234,056x = 340,460 × 340,460
  4. Step 4: Simplify right side
    234,056x = 115,913,011,600
  5. Step 5: Solve for x
    x = 115,913,011,600/234,056
  6. Step 6: Final answer
    x = 495,236.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.