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Finding the Third Proportional to 169,276.50 and 367,710

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Solution

The third proportional to 169,276.50 and 367,710 is: 798,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,276.50 : 367,710 = 367,710 : x
  2. Step 2: Convert to fraction form
    169,276.50/367,710 = 367,710/x
  3. Step 3: Cross multiply
    169,276.50x = 367,710 × 367,710
  4. Step 4: Simplify right side
    169,276.50x = 135,210,644,100
  5. Step 5: Solve for x
    x = 135,210,644,100/169,276.50
  6. Step 6: Final answer
    x = 798,756.14

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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.