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Finding the Third Proportional to 189,152 and 411,904

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Solution

The third proportional to 189,152 and 411,904 is: 896,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,152 : 411,904 = 411,904 : x
  2. Step 2: Convert to fraction form
    189,152/411,904 = 411,904/x
  3. Step 3: Cross multiply
    189,152x = 411,904 × 411,904
  4. Step 4: Simplify right side
    189,152x = 169,664,905,216
  5. Step 5: Solve for x
    x = 169,664,905,216/189,152
  6. Step 6: Final answer
    x = 896,976.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.