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Finding the Third Proportional to 207,046 and 293,031

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Solution

The third proportional to 207,046 and 293,031 is: 414,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,046 : 293,031 = 293,031 : x
  2. Step 2: Convert to fraction form
    207,046/293,031 = 293,031/x
  3. Step 3: Cross multiply
    207,046x = 293,031 × 293,031
  4. Step 4: Simplify right side
    207,046x = 85,867,166,961
  5. Step 5: Solve for x
    x = 85,867,166,961/207,046
  6. Step 6: Final answer
    x = 414,725.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.