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Finding the Third Proportional to 238,065 and 368,923.50

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Solution

The third proportional to 238,065 and 368,923.50 is: 571,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,065 : 368,923.50 = 368,923.50 : x
  2. Step 2: Convert to fraction form
    238,065/368,923.50 = 368,923.50/x
  3. Step 3: Cross multiply
    238,065x = 368,923.50 × 368,923.50
  4. Step 4: Simplify right side
    238,065x = 136,104,548,852.25
  5. Step 5: Solve for x
    x = 136,104,548,852.25/238,065
  6. Step 6: Final answer
    x = 571,711.71

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