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Finding the Third Proportional to 238,064 and 368,922

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Solution

The third proportional to 238,064 and 368,922 is: 571,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,064 : 368,922 = 368,922 : x
  2. Step 2: Convert to fraction form
    238,064/368,922 = 368,922/x
  3. Step 3: Cross multiply
    238,064x = 368,922 × 368,922
  4. Step 4: Simplify right side
    238,064x = 136,103,442,084
  5. Step 5: Solve for x
    x = 136,103,442,084/238,064
  6. Step 6: Final answer
    x = 571,709.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.