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Finding the Third Proportional to 145,588.21 and 311,416.84

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Solution

The third proportional to 145,588.21 and 311,416.84 is: 666,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,588.21 : 311,416.84 = 311,416.84 : x
  2. Step 2: Convert to fraction form
    145,588.21/311,416.84 = 311,416.84/x
  3. Step 3: Cross multiply
    145,588.21x = 311,416.84 × 311,416.84
  4. Step 4: Simplify right side
    145,588.21x = 96,980,448,138.27
  5. Step 5: Solve for x
    x = 96,980,448,138.27/145,588.21
  6. Step 6: Final answer
    x = 666,128.47

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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.