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Finding the Third Proportional to 201,148 and 277,083.75

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Solution

The third proportional to 201,148 and 277,083.75 is: 381,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,148 : 277,083.75 = 277,083.75 : x
  2. Step 2: Convert to fraction form
    201,148/277,083.75 = 277,083.75/x
  3. Step 3: Cross multiply
    201,148x = 277,083.75 × 277,083.75
  4. Step 4: Simplify right side
    201,148x = 76,775,404,514.06
  5. Step 5: Solve for x
    x = 76,775,404,514.06/201,148
  6. Step 6: Final answer
    x = 381,686.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.