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Finding the Third Proportional to 193,670 and 264,033

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Solution

The third proportional to 193,670 and 264,033 is: 359,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,670 : 264,033 = 264,033 : x
  2. Step 2: Convert to fraction form
    193,670/264,033 = 264,033/x
  3. Step 3: Cross multiply
    193,670x = 264,033 × 264,033
  4. Step 4: Simplify right side
    193,670x = 69,713,425,089
  5. Step 5: Solve for x
    x = 69,713,425,089/193,670
  6. Step 6: Final answer
    x = 359,959.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.