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Finding the Third Proportional to 232,184 and 508,112

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Solution

The third proportional to 232,184 and 508,112 is: 1,111,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,184 : 508,112 = 508,112 : x
  2. Step 2: Convert to fraction form
    232,184/508,112 = 508,112/x
  3. Step 3: Cross multiply
    232,184x = 508,112 × 508,112
  4. Step 4: Simplify right side
    232,184x = 258,177,804,544
  5. Step 5: Solve for x
    x = 258,177,804,544/232,184
  6. Step 6: Final answer
    x = 1,111,953.47

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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.