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Finding the Third Proportional to 155,911.50 and 235,278

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Solution

The third proportional to 155,911.50 and 235,278 is: 355,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,911.50 : 235,278 = 235,278 : x
  2. Step 2: Convert to fraction form
    155,911.50/235,278 = 235,278/x
  3. Step 3: Cross multiply
    155,911.50x = 235,278 × 235,278
  4. Step 4: Simplify right side
    155,911.50x = 55,355,737,284
  5. Step 5: Solve for x
    x = 55,355,737,284/155,911.50
  6. Step 6: Final answer
    x = 355,045.89

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