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Finding the Third Proportional to 139,064.34 and 297,804.09

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Solution

The third proportional to 139,064.34 and 297,804.09 is: 637,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,064.34 : 297,804.09 = 297,804.09 : x
  2. Step 2: Convert to fraction form
    139,064.34/297,804.09 = 297,804.09/x
  3. Step 3: Cross multiply
    139,064.34x = 297,804.09 × 297,804.09
  4. Step 4: Simplify right side
    139,064.34x = 88,687,278,254.26
  5. Step 5: Solve for x
    x = 88,687,278,254.26/139,064.34
  6. Step 6: Final answer
    x = 637,742.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.