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Finding the Third Proportional to 154,172 and 231,263

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Solution

The third proportional to 154,172 and 231,263 is: 346,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,172 : 231,263 = 231,263 : x
  2. Step 2: Convert to fraction form
    154,172/231,263 = 231,263/x
  3. Step 3: Cross multiply
    154,172x = 231,263 × 231,263
  4. Step 4: Simplify right side
    154,172x = 53,482,575,169
  5. Step 5: Solve for x
    x = 53,482,575,169/154,172
  6. Step 6: Final answer
    x = 346,902.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.