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Finding the Third Proportional to 154,051 and 230,043

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Solution

The third proportional to 154,051 and 230,043 is: 343,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,051 : 230,043 = 230,043 : x
  2. Step 2: Convert to fraction form
    154,051/230,043 = 230,043/x
  3. Step 3: Cross multiply
    154,051x = 230,043 × 230,043
  4. Step 4: Simplify right side
    154,051x = 52,919,781,849
  5. Step 5: Solve for x
    x = 52,919,781,849/154,051
  6. Step 6: Final answer
    x = 343,521.18

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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.