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Finding the Third Proportional to 155,161 and 237,254.50

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Solution

The third proportional to 155,161 and 237,254.50 is: 362,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,161 : 237,254.50 = 237,254.50 : x
  2. Step 2: Convert to fraction form
    155,161/237,254.50 = 237,254.50/x
  3. Step 3: Cross multiply
    155,161x = 237,254.50 × 237,254.50
  4. Step 4: Simplify right side
    155,161x = 56,289,697,770.25
  5. Step 5: Solve for x
    x = 56,289,697,770.25/155,161
  6. Step 6: Final answer
    x = 362,782.51

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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.