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Finding the Third Proportional to 184,226.91 and 292,947.89

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Solution

The third proportional to 184,226.91 and 292,947.89 is: 465,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,226.91 : 292,947.89 = 292,947.89 : x
  2. Step 2: Convert to fraction form
    184,226.91/292,947.89 = 292,947.89/x
  3. Step 3: Cross multiply
    184,226.91x = 292,947.89 × 292,947.89
  4. Step 4: Simplify right side
    184,226.91x = 85,818,466,621.64
  5. Step 5: Solve for x
    x = 85,818,466,621.64/184,226.91
  6. Step 6: Final answer
    x = 465,830.25

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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.