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Finding the Third Proportional to 212,719.92 and 314,876.74

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Solution

The third proportional to 212,719.92 and 314,876.74 is: 466,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,719.92 : 314,876.74 = 314,876.74 : x
  2. Step 2: Convert to fraction form
    212,719.92/314,876.74 = 314,876.74/x
  3. Step 3: Cross multiply
    212,719.92x = 314,876.74 × 314,876.74
  4. Step 4: Simplify right side
    212,719.92x = 99,147,362,770.61
  5. Step 5: Solve for x
    x = 99,147,362,770.61/212,719.92
  6. Step 6: Final answer
    x = 466,093.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.