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Finding the Third Proportional to 184,176 and 291,072

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Solution

The third proportional to 184,176 and 291,072 is: 460,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,176 : 291,072 = 291,072 : x
  2. Step 2: Convert to fraction form
    184,176/291,072 = 291,072/x
  3. Step 3: Cross multiply
    184,176x = 291,072 × 291,072
  4. Step 4: Simplify right side
    184,176x = 84,722,909,184
  5. Step 5: Solve for x
    x = 84,722,909,184/184,176
  6. Step 6: Final answer
    x = 460,010.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.