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Finding the Third Proportional to 184,877.81 and 264,194.63

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Solution

The third proportional to 184,877.81 and 264,194.63 is: 377,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,877.81 : 264,194.63 = 264,194.63 : x
  2. Step 2: Convert to fraction form
    184,877.81/264,194.63 = 264,194.63/x
  3. Step 3: Cross multiply
    184,877.81x = 264,194.63 × 264,194.63
  4. Step 4: Simplify right side
    184,877.81x = 69,798,799,878.89
  5. Step 5: Solve for x
    x = 69,798,799,878.89/184,877.81
  6. Step 6: Final answer
    x = 377,540.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.