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Finding the Third Proportional to 184,545 and 402,441.75

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Solution

The third proportional to 184,545 and 402,441.75 is: 877,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,545 : 402,441.75 = 402,441.75 : x
  2. Step 2: Convert to fraction form
    184,545/402,441.75 = 402,441.75/x
  3. Step 3: Cross multiply
    184,545x = 402,441.75 × 402,441.75
  4. Step 4: Simplify right side
    184,545x = 161,959,362,143.06
  5. Step 5: Solve for x
    x = 161,959,362,143.06/184,545
  6. Step 6: Final answer
    x = 877,614.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.