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Finding the Third Proportional to 139,699.50 and 301,719

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Solution

The third proportional to 139,699.50 and 301,719 is: 651,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,699.50 : 301,719 = 301,719 : x
  2. Step 2: Convert to fraction form
    139,699.50/301,719 = 301,719/x
  3. Step 3: Cross multiply
    139,699.50x = 301,719 × 301,719
  4. Step 4: Simplify right side
    139,699.50x = 91,034,354,961
  5. Step 5: Solve for x
    x = 91,034,354,961/139,699.50
  6. Step 6: Final answer
    x = 651,644.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.