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Finding the Third Proportional to 188,088 and 411,168

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Solution

The third proportional to 188,088 and 411,168 is: 898,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,088 : 411,168 = 411,168 : x
  2. Step 2: Convert to fraction form
    188,088/411,168 = 411,168/x
  3. Step 3: Cross multiply
    188,088x = 411,168 × 411,168
  4. Step 4: Simplify right side
    188,088x = 169,059,124,224
  5. Step 5: Solve for x
    x = 169,059,124,224/188,088
  6. Step 6: Final answer
    x = 898,829.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.