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Finding the Third Proportional to 237,072 and 363,531.75

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Solution

The third proportional to 237,072 and 363,531.75 is: 557,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,072 : 363,531.75 = 363,531.75 : x
  2. Step 2: Convert to fraction form
    237,072/363,531.75 = 363,531.75/x
  3. Step 3: Cross multiply
    237,072x = 363,531.75 × 363,531.75
  4. Step 4: Simplify right side
    237,072x = 132,155,333,258.06
  5. Step 5: Solve for x
    x = 132,155,333,258.06/237,072
  6. Step 6: Final answer
    x = 557,448.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.