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Finding the Third Proportional to 191,014 and 294,823

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Solution

The third proportional to 191,014 and 294,823 is: 455,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,014 : 294,823 = 294,823 : x
  2. Step 2: Convert to fraction form
    191,014/294,823 = 294,823/x
  3. Step 3: Cross multiply
    191,014x = 294,823 × 294,823
  4. Step 4: Simplify right side
    191,014x = 86,920,601,329
  5. Step 5: Solve for x
    x = 86,920,601,329/191,014
  6. Step 6: Final answer
    x = 455,048.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.