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Finding the Third Proportional to 157,284.75 and 342,216.75

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Solution

The third proportional to 157,284.75 and 342,216.75 is: 744,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284.75 : 342,216.75 = 342,216.75 : x
  2. Step 2: Convert to fraction form
    157,284.75/342,216.75 = 342,216.75/x
  3. Step 3: Cross multiply
    157,284.75x = 342,216.75 × 342,216.75
  4. Step 4: Simplify right side
    157,284.75x = 117,112,303,980.56
  5. Step 5: Solve for x
    x = 117,112,303,980.56/157,284.75
  6. Step 6: Final answer
    x = 744,587.79

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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.