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Finding the Third Proportional to 236,883 and 364,084.50

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Solution

The third proportional to 236,883 and 364,084.50 is: 559,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,883 : 364,084.50 = 364,084.50 : x
  2. Step 2: Convert to fraction form
    236,883/364,084.50 = 364,084.50/x
  3. Step 3: Cross multiply
    236,883x = 364,084.50 × 364,084.50
  4. Step 4: Simplify right side
    236,883x = 132,557,523,140.25
  5. Step 5: Solve for x
    x = 132,557,523,140.25/236,883
  6. Step 6: Final answer
    x = 559,590.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.