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Finding the Third Proportional to 123,206 and 302,544

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Solution

The third proportional to 123,206 and 302,544 is: 742,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,206 : 302,544 = 302,544 : x
  2. Step 2: Convert to fraction form
    123,206/302,544 = 302,544/x
  3. Step 3: Cross multiply
    123,206x = 302,544 × 302,544
  4. Step 4: Simplify right side
    123,206x = 91,532,871,936
  5. Step 5: Solve for x
    x = 91,532,871,936/123,206
  6. Step 6: Final answer
    x = 742,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.