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Finding the Third Proportional to 162,480 and 376,112

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Solution

The third proportional to 162,480 and 376,112 is: 870,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,480 : 376,112 = 376,112 : x
  2. Step 2: Convert to fraction form
    162,480/376,112 = 376,112/x
  3. Step 3: Cross multiply
    162,480x = 376,112 × 376,112
  4. Step 4: Simplify right side
    162,480x = 141,460,236,544
  5. Step 5: Solve for x
    x = 141,460,236,544/162,480
  6. Step 6: Final answer
    x = 870,631.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.