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Finding the Third Proportional to 157,190.63 and 339,395.06

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Solution

The third proportional to 157,190.63 and 339,395.06 is: 732,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,190.63 : 339,395.06 = 339,395.06 : x
  2. Step 2: Convert to fraction form
    157,190.63/339,395.06 = 339,395.06/x
  3. Step 3: Cross multiply
    157,190.63x = 339,395.06 × 339,395.06
  4. Step 4: Simplify right side
    157,190.63x = 115,189,008,449.38
  5. Step 5: Solve for x
    x = 115,189,008,449.38/157,190.63
  6. Step 6: Final answer
    x = 732,798.21

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Why These Related Problems?

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