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Finding the Third Proportional to 191,012 and 294,820

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Solution

The third proportional to 191,012 and 294,820 is: 455,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,012 : 294,820 = 294,820 : x
  2. Step 2: Convert to fraction form
    191,012/294,820 = 294,820/x
  3. Step 3: Cross multiply
    191,012x = 294,820 × 294,820
  4. Step 4: Simplify right side
    191,012x = 86,918,832,400
  5. Step 5: Solve for x
    x = 86,918,832,400/191,012
  6. Step 6: Final answer
    x = 455,043.83

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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.