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Finding the Third Proportional to 225,622.13 and 338,482.13

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Solution

The third proportional to 225,622.13 and 338,482.13 is: 507,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,622.13 : 338,482.13 = 338,482.13 : x
  2. Step 2: Convert to fraction form
    225,622.13/338,482.13 = 338,482.13/x
  3. Step 3: Cross multiply
    225,622.13x = 338,482.13 × 338,482.13
  4. Step 4: Simplify right side
    225,622.13x = 114,570,148,944.52
  5. Step 5: Solve for x
    x = 114,570,148,944.52/225,622.13
  6. Step 6: Final answer
    x = 507,796.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.