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Finding the Third Proportional to 238,048.88 and 368,828.44

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Solution

The third proportional to 238,048.88 and 368,828.44 is: 571,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,048.88 : 368,828.44 = 368,828.44 : x
  2. Step 2: Convert to fraction form
    238,048.88/368,828.44 = 368,828.44/x
  3. Step 3: Cross multiply
    238,048.88x = 368,828.44 × 368,828.44
  4. Step 4: Simplify right side
    238,048.88x = 136,034,416,308.69
  5. Step 5: Solve for x
    x = 136,034,416,308.69/238,048.88
  6. Step 6: Final answer
    x = 571,455.83

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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.