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Finding the Third Proportional to 255,325 and 404,108.50

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Solution

The third proportional to 255,325 and 404,108.50 is: 639,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,325 : 404,108.50 = 404,108.50 : x
  2. Step 2: Convert to fraction form
    255,325/404,108.50 = 404,108.50/x
  3. Step 3: Cross multiply
    255,325x = 404,108.50 × 404,108.50
  4. Step 4: Simplify right side
    255,325x = 163,303,679,772.25
  5. Step 5: Solve for x
    x = 163,303,679,772.25/255,325
  6. Step 6: Final answer
    x = 639,591.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.