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Finding the Third Proportional to 232,119 and 492,174

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Solution

The third proportional to 232,119 and 492,174 is: 1,043,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,119 : 492,174 = 492,174 : x
  2. Step 2: Convert to fraction form
    232,119/492,174 = 492,174/x
  3. Step 3: Cross multiply
    232,119x = 492,174 × 492,174
  4. Step 4: Simplify right side
    232,119x = 242,235,246,276
  5. Step 5: Solve for x
    x = 242,235,246,276/232,119
  6. Step 6: Final answer
    x = 1,043,582.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.