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Finding the Third Proportional to 184,798 and 399,140

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Solution

The third proportional to 184,798 and 399,140 is: 862,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,798 : 399,140 = 399,140 : x
  2. Step 2: Convert to fraction form
    184,798/399,140 = 399,140/x
  3. Step 3: Cross multiply
    184,798x = 399,140 × 399,140
  4. Step 4: Simplify right side
    184,798x = 159,312,739,600
  5. Step 5: Solve for x
    x = 159,312,739,600/184,798
  6. Step 6: Final answer
    x = 862,091.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.