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Finding the Third Proportional to 195,146 and 301,263

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Solution

The third proportional to 195,146 and 301,263 is: 465,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,146 : 301,263 = 301,263 : x
  2. Step 2: Convert to fraction form
    195,146/301,263 = 301,263/x
  3. Step 3: Cross multiply
    195,146x = 301,263 × 301,263
  4. Step 4: Simplify right side
    195,146x = 90,759,395,169
  5. Step 5: Solve for x
    x = 90,759,395,169/195,146
  6. Step 6: Final answer
    x = 465,084.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.