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Finding the Third Proportional to 189,875 and 448,219

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Solution

The third proportional to 189,875 and 448,219 is: 1,058,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,875 : 448,219 = 448,219 : x
  2. Step 2: Convert to fraction form
    189,875/448,219 = 448,219/x
  3. Step 3: Cross multiply
    189,875x = 448,219 × 448,219
  4. Step 4: Simplify right side
    189,875x = 200,900,271,961
  5. Step 5: Solve for x
    x = 200,900,271,961/189,875
  6. Step 6: Final answer
    x = 1,058,065.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.