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Finding the Third Proportional to 193,276.13 and 294,014.81

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Solution

The third proportional to 193,276.13 and 294,014.81 is: 447,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,276.13 : 294,014.81 = 294,014.81 : x
  2. Step 2: Convert to fraction form
    193,276.13/294,014.81 = 294,014.81/x
  3. Step 3: Cross multiply
    193,276.13x = 294,014.81 × 294,014.81
  4. Step 4: Simplify right side
    193,276.13x = 86,444,709,969.41
  5. Step 5: Solve for x
    x = 86,444,709,969.41/193,276.13
  6. Step 6: Final answer
    x = 447,260.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.