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Finding the Third Proportional to 173,415.88 and 378,345.63

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Solution

The third proportional to 173,415.88 and 378,345.63 is: 825,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,415.88 : 378,345.63 = 378,345.63 : x
  2. Step 2: Convert to fraction form
    173,415.88/378,345.63 = 378,345.63/x
  3. Step 3: Cross multiply
    173,415.88x = 378,345.63 × 378,345.63
  4. Step 4: Simplify right side
    173,415.88x = 143,145,411,956.64
  5. Step 5: Solve for x
    x = 143,145,411,956.64/173,415.88
  6. Step 6: Final answer
    x = 825,445.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.