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Finding the Third Proportional to 155,281.50 and 212,145.75

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Solution

The third proportional to 155,281.50 and 212,145.75 is: 289,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281.50 : 212,145.75 = 212,145.75 : x
  2. Step 2: Convert to fraction form
    155,281.50/212,145.75 = 212,145.75/x
  3. Step 3: Cross multiply
    155,281.50x = 212,145.75 × 212,145.75
  4. Step 4: Simplify right side
    155,281.50x = 45,005,819,243.06
  5. Step 5: Solve for x
    x = 45,005,819,243.06/155,281.50
  6. Step 6: Final answer
    x = 289,833.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.