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Finding the Third Proportional to 184,064 and 260,998

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Solution

The third proportional to 184,064 and 260,998 is: 370,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,064 : 260,998 = 260,998 : x
  2. Step 2: Convert to fraction form
    184,064/260,998 = 260,998/x
  3. Step 3: Cross multiply
    184,064x = 260,998 × 260,998
  4. Step 4: Simplify right side
    184,064x = 68,119,956,004
  5. Step 5: Solve for x
    x = 68,119,956,004/184,064
  6. Step 6: Final answer
    x = 370,088.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.