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Finding the Third Proportional to 238,032 and 368,804

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Solution

The third proportional to 238,032 and 368,804 is: 571,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,032 : 368,804 = 368,804 : x
  2. Step 2: Convert to fraction form
    238,032/368,804 = 368,804/x
  3. Step 3: Cross multiply
    238,032x = 368,804 × 368,804
  4. Step 4: Simplify right side
    238,032x = 136,016,390,416
  5. Step 5: Solve for x
    x = 136,016,390,416/238,032
  6. Step 6: Final answer
    x = 571,420.61

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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.