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Finding the Third Proportional to 191,614 and 290,072

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Solution

The third proportional to 191,614 and 290,072 is: 439,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,614 : 290,072 = 290,072 : x
  2. Step 2: Convert to fraction form
    191,614/290,072 = 290,072/x
  3. Step 3: Cross multiply
    191,614x = 290,072 × 290,072
  4. Step 4: Simplify right side
    191,614x = 84,141,765,184
  5. Step 5: Solve for x
    x = 84,141,765,184/191,614
  6. Step 6: Final answer
    x = 439,121.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.