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Finding the Third Proportional to 139,959 and 302,020

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Solution

The third proportional to 139,959 and 302,020 is: 651,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,959 : 302,020 = 302,020 : x
  2. Step 2: Convert to fraction form
    139,959/302,020 = 302,020/x
  3. Step 3: Cross multiply
    139,959x = 302,020 × 302,020
  4. Step 4: Simplify right side
    139,959x = 91,216,080,400
  5. Step 5: Solve for x
    x = 91,216,080,400/139,959
  6. Step 6: Final answer
    x = 651,734.30

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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.