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Finding the Third Proportional to 139,710 and 221,322

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Solution

The third proportional to 139,710 and 221,322 is: 350,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,710 : 221,322 = 221,322 : x
  2. Step 2: Convert to fraction form
    139,710/221,322 = 221,322/x
  3. Step 3: Cross multiply
    139,710x = 221,322 × 221,322
  4. Step 4: Simplify right side
    139,710x = 48,983,427,684
  5. Step 5: Solve for x
    x = 48,983,427,684/139,710
  6. Step 6: Final answer
    x = 350,607.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.