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Finding the Third Proportional to 116,730 and 263,772

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Solution

The third proportional to 116,730 and 263,772 is: 596,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,730 : 263,772 = 263,772 : x
  2. Step 2: Convert to fraction form
    116,730/263,772 = 263,772/x
  3. Step 3: Cross multiply
    116,730x = 263,772 × 263,772
  4. Step 4: Simplify right side
    116,730x = 69,575,667,984
  5. Step 5: Solve for x
    x = 69,575,667,984/116,730
  6. Step 6: Final answer
    x = 596,039.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.