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Finding the Third Proportional to 94,835 and 218,984

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Solution

The third proportional to 94,835 and 218,984 is: 505,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,835 : 218,984 = 218,984 : x
  2. Step 2: Convert to fraction form
    94,835/218,984 = 218,984/x
  3. Step 3: Cross multiply
    94,835x = 218,984 × 218,984
  4. Step 4: Simplify right side
    94,835x = 47,953,992,256
  5. Step 5: Solve for x
    x = 47,953,992,256/94,835
  6. Step 6: Final answer
    x = 505,657.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.