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Finding the Third Proportional to 125,310 and 270,322

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Solution

The third proportional to 125,310 and 270,322 is: 583,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,310 : 270,322 = 270,322 : x
  2. Step 2: Convert to fraction form
    125,310/270,322 = 270,322/x
  3. Step 3: Cross multiply
    125,310x = 270,322 × 270,322
  4. Step 4: Simplify right side
    125,310x = 73,073,983,684
  5. Step 5: Solve for x
    x = 73,073,983,684/125,310
  6. Step 6: Final answer
    x = 583,145.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.