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Finding the Third Proportional to 184,433 and 292,777.50

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Solution

The third proportional to 184,433 and 292,777.50 is: 464,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,433 : 292,777.50 = 292,777.50 : x
  2. Step 2: Convert to fraction form
    184,433/292,777.50 = 292,777.50/x
  3. Step 3: Cross multiply
    184,433x = 292,777.50 × 292,777.50
  4. Step 4: Simplify right side
    184,433x = 85,718,664,506.25
  5. Step 5: Solve for x
    x = 85,718,664,506.25/184,433
  6. Step 6: Final answer
    x = 464,768.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.