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Finding the Third Proportional to 123,368 and 264,219

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Solution

The third proportional to 123,368 and 264,219 is: 565,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,368 : 264,219 = 264,219 : x
  2. Step 2: Convert to fraction form
    123,368/264,219 = 264,219/x
  3. Step 3: Cross multiply
    123,368x = 264,219 × 264,219
  4. Step 4: Simplify right side
    123,368x = 69,811,679,961
  5. Step 5: Solve for x
    x = 69,811,679,961/123,368
  6. Step 6: Final answer
    x = 565,881.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.