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Finding the Third Proportional to 139,538.50 and 302,709

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Solution

The third proportional to 139,538.50 and 302,709 is: 656,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.50 : 302,709 = 302,709 : x
  2. Step 2: Convert to fraction form
    139,538.50/302,709 = 302,709/x
  3. Step 3: Cross multiply
    139,538.50x = 302,709 × 302,709
  4. Step 4: Simplify right side
    139,538.50x = 91,632,738,681
  5. Step 5: Solve for x
    x = 91,632,738,681/139,538.50
  6. Step 6: Final answer
    x = 656,684.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.