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Finding the Third Proportional to 142,930.83 and 310,771.69

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Solution

The third proportional to 142,930.83 and 310,771.69 is: 675,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930.83 : 310,771.69 = 310,771.69 : x
  2. Step 2: Convert to fraction form
    142,930.83/310,771.69 = 310,771.69/x
  3. Step 3: Cross multiply
    142,930.83x = 310,771.69 × 310,771.69
  4. Step 4: Simplify right side
    142,930.83x = 96,579,041,751.60
  5. Step 5: Solve for x
    x = 96,579,041,751.60/142,930.83
  6. Step 6: Final answer
    x = 675,704.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.