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Finding the Third Proportional to 207,044 and 293,028

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Solution

The third proportional to 207,044 and 293,028 is: 414,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,044 : 293,028 = 293,028 : x
  2. Step 2: Convert to fraction form
    207,044/293,028 = 293,028/x
  3. Step 3: Cross multiply
    207,044x = 293,028 × 293,028
  4. Step 4: Simplify right side
    207,044x = 85,865,408,784
  5. Step 5: Solve for x
    x = 85,865,408,784/207,044
  6. Step 6: Final answer
    x = 414,720.58

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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.