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Finding the Third Proportional to 164,291 and 247,165.50

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Solution

The third proportional to 164,291 and 247,165.50 is: 371,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,291 : 247,165.50 = 247,165.50 : x
  2. Step 2: Convert to fraction form
    164,291/247,165.50 = 247,165.50/x
  3. Step 3: Cross multiply
    164,291x = 247,165.50 × 247,165.50
  4. Step 4: Simplify right side
    164,291x = 61,090,784,390.25
  5. Step 5: Solve for x
    x = 61,090,784,390.25/164,291
  6. Step 6: Final answer
    x = 371,844.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.