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Finding the Third Proportional to 154,034 and 228,792

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Solution

The third proportional to 154,034 and 228,792 is: 339,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,034 : 228,792 = 228,792 : x
  2. Step 2: Convert to fraction form
    154,034/228,792 = 228,792/x
  3. Step 3: Cross multiply
    154,034x = 228,792 × 228,792
  4. Step 4: Simplify right side
    154,034x = 52,345,779,264
  5. Step 5: Solve for x
    x = 52,345,779,264/154,034
  6. Step 6: Final answer
    x = 339,832.63

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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.