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Finding the Third Proportional to 233,656.88 and 334,134

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Solution

The third proportional to 233,656.88 and 334,134 is: 477,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,656.88 : 334,134 = 334,134 : x
  2. Step 2: Convert to fraction form
    233,656.88/334,134 = 334,134/x
  3. Step 3: Cross multiply
    233,656.88x = 334,134 × 334,134
  4. Step 4: Simplify right side
    233,656.88x = 111,645,529,956
  5. Step 5: Solve for x
    x = 111,645,529,956/233,656.88
  6. Step 6: Final answer
    x = 477,818.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.