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Finding the Third Proportional to 238,080 and 368,484

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Solution

The third proportional to 238,080 and 368,484 is: 570,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,080 : 368,484 = 368,484 : x
  2. Step 2: Convert to fraction form
    238,080/368,484 = 368,484/x
  3. Step 3: Cross multiply
    238,080x = 368,484 × 368,484
  4. Step 4: Simplify right side
    238,080x = 135,780,458,256
  5. Step 5: Solve for x
    x = 135,780,458,256/238,080
  6. Step 6: Final answer
    x = 570,314.42

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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.