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Finding the Third Proportional to 139,050 and 302,932

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Solution

The third proportional to 139,050 and 302,932 is: 659,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,050 : 302,932 = 302,932 : x
  2. Step 2: Convert to fraction form
    139,050/302,932 = 302,932/x
  3. Step 3: Cross multiply
    139,050x = 302,932 × 302,932
  4. Step 4: Simplify right side
    139,050x = 91,767,796,624
  5. Step 5: Solve for x
    x = 91,767,796,624/139,050
  6. Step 6: Final answer
    x = 659,962.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.