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Finding the Third Proportional to 184,557 and 285,001

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Solution

The third proportional to 184,557 and 285,001 is: 440,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,557 : 285,001 = 285,001 : x
  2. Step 2: Convert to fraction form
    184,557/285,001 = 285,001/x
  3. Step 3: Cross multiply
    184,557x = 285,001 × 285,001
  4. Step 4: Simplify right side
    184,557x = 81,225,570,001
  5. Step 5: Solve for x
    x = 81,225,570,001/184,557
  6. Step 6: Final answer
    x = 440,111.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.