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Finding the Third Proportional to 188,343 and 264,033

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Solution

The third proportional to 188,343 and 264,033 is: 370,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,343 : 264,033 = 264,033 : x
  2. Step 2: Convert to fraction form
    188,343/264,033 = 264,033/x
  3. Step 3: Cross multiply
    188,343x = 264,033 × 264,033
  4. Step 4: Simplify right side
    188,343x = 69,713,425,089
  5. Step 5: Solve for x
    x = 69,713,425,089/188,343
  6. Step 6: Final answer
    x = 370,140.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.