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Finding the Third Proportional to 238,030 and 368,801

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Solution

The third proportional to 238,030 and 368,801 is: 571,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,030 : 368,801 = 368,801 : x
  2. Step 2: Convert to fraction form
    238,030/368,801 = 368,801/x
  3. Step 3: Cross multiply
    238,030x = 368,801 × 368,801
  4. Step 4: Simplify right side
    238,030x = 136,014,177,601
  5. Step 5: Solve for x
    x = 136,014,177,601/238,030
  6. Step 6: Final answer
    x = 571,416.11

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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.