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Finding the Third Proportional to 147,465 and 222,405

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Solution

The third proportional to 147,465 and 222,405 is: 335,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,465 : 222,405 = 222,405 : x
  2. Step 2: Convert to fraction form
    147,465/222,405 = 222,405/x
  3. Step 3: Cross multiply
    147,465x = 222,405 × 222,405
  4. Step 4: Simplify right side
    147,465x = 49,463,984,025
  5. Step 5: Solve for x
    x = 49,463,984,025/147,465
  6. Step 6: Final answer
    x = 335,428.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.