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Finding the Third Proportional to 189,904 and 293,953.50

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Solution

The third proportional to 189,904 and 293,953.50 is: 455,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,904 : 293,953.50 = 293,953.50 : x
  2. Step 2: Convert to fraction form
    189,904/293,953.50 = 293,953.50/x
  3. Step 3: Cross multiply
    189,904x = 293,953.50 × 293,953.50
  4. Step 4: Simplify right side
    189,904x = 86,408,660,162.25
  5. Step 5: Solve for x
    x = 86,408,660,162.25/189,904
  6. Step 6: Final answer
    x = 455,012.32

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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.