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Finding the Third Proportional to 253,437.75 and 342,097.88

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Solution

The third proportional to 253,437.75 and 342,097.88 is: 461,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,437.75 : 342,097.88 = 342,097.88 : x
  2. Step 2: Convert to fraction form
    253,437.75/342,097.88 = 342,097.88/x
  3. Step 3: Cross multiply
    253,437.75x = 342,097.88 × 342,097.88
  4. Step 4: Simplify right side
    253,437.75x = 117,030,956,079.52
  5. Step 5: Solve for x
    x = 117,030,956,079.52/253,437.75
  6. Step 6: Final answer
    x = 461,773.97

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.