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Finding the Third Proportional to 130,091 and 283,758.50

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Solution

The third proportional to 130,091 and 283,758.50 is: 618,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,091 : 283,758.50 = 283,758.50 : x
  2. Step 2: Convert to fraction form
    130,091/283,758.50 = 283,758.50/x
  3. Step 3: Cross multiply
    130,091x = 283,758.50 × 283,758.50
  4. Step 4: Simplify right side
    130,091x = 80,518,886,322.25
  5. Step 5: Solve for x
    x = 80,518,886,322.25/130,091
  6. Step 6: Final answer
    x = 618,942.79

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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.