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Finding the Third Proportional to 157,803 and 221,960.50

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Solution

The third proportional to 157,803 and 221,960.50 is: 312,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,803 : 221,960.50 = 221,960.50 : x
  2. Step 2: Convert to fraction form
    157,803/221,960.50 = 221,960.50/x
  3. Step 3: Cross multiply
    157,803x = 221,960.50 × 221,960.50
  4. Step 4: Simplify right side
    157,803x = 49,266,463,560.25
  5. Step 5: Solve for x
    x = 49,266,463,560.25/157,803
  6. Step 6: Final answer
    x = 312,202.33

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.