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Finding the Third Proportional to 107,700 and 235,818

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Solution

The third proportional to 107,700 and 235,818 is: 516,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,700 : 235,818 = 235,818 : x
  2. Step 2: Convert to fraction form
    107,700/235,818 = 235,818/x
  3. Step 3: Cross multiply
    107,700x = 235,818 × 235,818
  4. Step 4: Simplify right side
    107,700x = 55,610,129,124
  5. Step 5: Solve for x
    x = 55,610,129,124/107,700
  6. Step 6: Final answer
    x = 516,342.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.