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Finding the Third Proportional to 212,047.50 and 311,719.50

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Solution

The third proportional to 212,047.50 and 311,719.50 is: 458,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,047.50 : 311,719.50 = 311,719.50 : x
  2. Step 2: Convert to fraction form
    212,047.50/311,719.50 = 311,719.50/x
  3. Step 3: Cross multiply
    212,047.50x = 311,719.50 × 311,719.50
  4. Step 4: Simplify right side
    212,047.50x = 97,169,046,680.25
  5. Step 5: Solve for x
    x = 97,169,046,680.25/212,047.50
  6. Step 6: Final answer
    x = 458,241.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.