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Finding the Third Proportional to 193,744.13 and 302,095.69

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Solution

The third proportional to 193,744.13 and 302,095.69 is: 471,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,744.13 : 302,095.69 = 302,095.69 : x
  2. Step 2: Convert to fraction form
    193,744.13/302,095.69 = 302,095.69/x
  3. Step 3: Cross multiply
    193,744.13x = 302,095.69 × 302,095.69
  4. Step 4: Simplify right side
    193,744.13x = 91,261,804,406.10
  5. Step 5: Solve for x
    x = 91,261,804,406.10/193,744.13
  6. Step 6: Final answer
    x = 471,042.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.