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Finding the Third Proportional to 189,802 and 291,046

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Solution

The third proportional to 189,802 and 291,046 is: 446,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,802 : 291,046 = 291,046 : x
  2. Step 2: Convert to fraction form
    189,802/291,046 = 291,046/x
  3. Step 3: Cross multiply
    189,802x = 291,046 × 291,046
  4. Step 4: Simplify right side
    189,802x = 84,707,774,116
  5. Step 5: Solve for x
    x = 84,707,774,116/189,802
  6. Step 6: Final answer
    x = 446,295.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.