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Finding the Third Proportional to 251,980.50 and 363,066

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Solution

The third proportional to 251,980.50 and 363,066 is: 523,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,980.50 : 363,066 = 363,066 : x
  2. Step 2: Convert to fraction form
    251,980.50/363,066 = 363,066/x
  3. Step 3: Cross multiply
    251,980.50x = 363,066 × 363,066
  4. Step 4: Simplify right side
    251,980.50x = 131,816,920,356
  5. Step 5: Solve for x
    x = 131,816,920,356/251,980.50
  6. Step 6: Final answer
    x = 523,123.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.