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Finding the Third Proportional to 172,796.63 and 378,807.05

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Solution

The third proportional to 172,796.63 and 378,807.05 is: 830,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,796.63 : 378,807.05 = 378,807.05 : x
  2. Step 2: Convert to fraction form
    172,796.63/378,807.05 = 378,807.05/x
  3. Step 3: Cross multiply
    172,796.63x = 378,807.05 × 378,807.05
  4. Step 4: Simplify right side
    172,796.63x = 143,494,778,762.16
  5. Step 5: Solve for x
    x = 143,494,778,762.16/172,796.63
  6. Step 6: Final answer
    x = 830,425.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.