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Finding the Third Proportional to 189,274 and 293,024

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Solution

The third proportional to 189,274 and 293,024 is: 453,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,274 : 293,024 = 293,024 : x
  2. Step 2: Convert to fraction form
    189,274/293,024 = 293,024/x
  3. Step 3: Cross multiply
    189,274x = 293,024 × 293,024
  4. Step 4: Simplify right side
    189,274x = 85,863,064,576
  5. Step 5: Solve for x
    x = 85,863,064,576/189,274
  6. Step 6: Final answer
    x = 453,644.26

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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.