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Finding the Third Proportional to 134,690 and 293,026

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Solution

The third proportional to 134,690 and 293,026 is: 637,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,690 : 293,026 = 293,026 : x
  2. Step 2: Convert to fraction form
    134,690/293,026 = 293,026/x
  3. Step 3: Cross multiply
    134,690x = 293,026 × 293,026
  4. Step 4: Simplify right side
    134,690x = 85,864,236,676
  5. Step 5: Solve for x
    x = 85,864,236,676/134,690
  6. Step 6: Final answer
    x = 637,495.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.