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Finding the Third Proportional to 155,949 and 235,033

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Solution

The third proportional to 155,949 and 235,033 is: 354,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,949 : 235,033 = 235,033 : x
  2. Step 2: Convert to fraction form
    155,949/235,033 = 235,033/x
  3. Step 3: Cross multiply
    155,949x = 235,033 × 235,033
  4. Step 4: Simplify right side
    155,949x = 55,240,511,089
  5. Step 5: Solve for x
    x = 55,240,511,089/155,949
  6. Step 6: Final answer
    x = 354,221.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.