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Finding the Third Proportional to 84,402 and 184,487.63

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Solution

The third proportional to 84,402 and 184,487.63 is: 403,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,402 : 184,487.63 = 184,487.63 : x
  2. Step 2: Convert to fraction form
    84,402/184,487.63 = 184,487.63/x
  3. Step 3: Cross multiply
    84,402x = 184,487.63 × 184,487.63
  4. Step 4: Simplify right side
    84,402x = 34,035,683,778.14
  5. Step 5: Solve for x
    x = 34,035,683,778.14/84,402
  6. Step 6: Final answer
    x = 403,256.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.