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Finding the Third Proportional to 210,248 and 467,152

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Solution

The third proportional to 210,248 and 467,152 is: 1,037,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,248 : 467,152 = 467,152 : x
  2. Step 2: Convert to fraction form
    210,248/467,152 = 467,152/x
  3. Step 3: Cross multiply
    210,248x = 467,152 × 467,152
  4. Step 4: Simplify right side
    210,248x = 218,230,991,104
  5. Step 5: Solve for x
    x = 218,230,991,104/210,248
  6. Step 6: Final answer
    x = 1,037,969.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.