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Finding the Third Proportional to 139,903 and 302,143

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Solution

The third proportional to 139,903 and 302,143 is: 652,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,903 : 302,143 = 302,143 : x
  2. Step 2: Convert to fraction form
    139,903/302,143 = 302,143/x
  3. Step 3: Cross multiply
    139,903x = 302,143 × 302,143
  4. Step 4: Simplify right side
    139,903x = 91,290,392,449
  5. Step 5: Solve for x
    x = 91,290,392,449/139,903
  6. Step 6: Final answer
    x = 652,526.34

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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.