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Finding the Third Proportional to 154,271 and 233,051

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Solution

The third proportional to 154,271 and 233,051 is: 352,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,271 : 233,051 = 233,051 : x
  2. Step 2: Convert to fraction form
    154,271/233,051 = 233,051/x
  3. Step 3: Cross multiply
    154,271x = 233,051 × 233,051
  4. Step 4: Simplify right side
    154,271x = 54,312,768,601
  5. Step 5: Solve for x
    x = 54,312,768,601/154,271
  6. Step 6: Final answer
    x = 352,060.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.