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Finding the Third Proportional to 212,003 and 286,900.50

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Solution

The third proportional to 212,003 and 286,900.50 is: 388,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,003 : 286,900.50 = 286,900.50 : x
  2. Step 2: Convert to fraction form
    212,003/286,900.50 = 286,900.50/x
  3. Step 3: Cross multiply
    212,003x = 286,900.50 × 286,900.50
  4. Step 4: Simplify right side
    212,003x = 82,311,896,900.25
  5. Step 5: Solve for x
    x = 82,311,896,900.25/212,003
  6. Step 6: Final answer
    x = 388,258.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.