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Finding the Third Proportional to 154,040 and 230,026

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Solution

The third proportional to 154,040 and 230,026 is: 343,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,040 : 230,026 = 230,026 : x
  2. Step 2: Convert to fraction form
    154,040/230,026 = 230,026/x
  3. Step 3: Cross multiply
    154,040x = 230,026 × 230,026
  4. Step 4: Simplify right side
    154,040x = 52,911,960,676
  5. Step 5: Solve for x
    x = 52,911,960,676/154,040
  6. Step 6: Final answer
    x = 343,494.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.