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Finding the Third Proportional to 139,539.50 and 302,711

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Solution

The third proportional to 139,539.50 and 302,711 is: 656,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,539.50 : 302,711 = 302,711 : x
  2. Step 2: Convert to fraction form
    139,539.50/302,711 = 302,711/x
  3. Step 3: Cross multiply
    139,539.50x = 302,711 × 302,711
  4. Step 4: Simplify right side
    139,539.50x = 91,633,949,521
  5. Step 5: Solve for x
    x = 91,633,949,521/139,539.50
  6. Step 6: Final answer
    x = 656,688.25

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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.