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Finding the Third Proportional to 189,418.13 and 294,088.13

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Solution

The third proportional to 189,418.13 and 294,088.13 is: 456,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418.13 : 294,088.13 = 294,088.13 : x
  2. Step 2: Convert to fraction form
    189,418.13/294,088.13 = 294,088.13/x
  3. Step 3: Cross multiply
    189,418.13x = 294,088.13 × 294,088.13
  4. Step 4: Simplify right side
    189,418.13x = 86,487,825,266.02
  5. Step 5: Solve for x
    x = 86,487,825,266.02/189,418.13
  6. Step 6: Final answer
    x = 456,597.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.