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Finding the Third Proportional to 107,070 and 235,326

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Solution

The third proportional to 107,070 and 235,326 is: 517,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,070 : 235,326 = 235,326 : x
  2. Step 2: Convert to fraction form
    107,070/235,326 = 235,326/x
  3. Step 3: Cross multiply
    107,070x = 235,326 × 235,326
  4. Step 4: Simplify right side
    107,070x = 55,378,326,276
  5. Step 5: Solve for x
    x = 55,378,326,276/107,070
  6. Step 6: Final answer
    x = 517,216.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.