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Finding the Third Proportional to 94,925 and 208,798

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Solution

The third proportional to 94,925 and 208,798 is: 459,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,925 : 208,798 = 208,798 : x
  2. Step 2: Convert to fraction form
    94,925/208,798 = 208,798/x
  3. Step 3: Cross multiply
    94,925x = 208,798 × 208,798
  4. Step 4: Simplify right side
    94,925x = 43,596,604,804
  5. Step 5: Solve for x
    x = 43,596,604,804/94,925
  6. Step 6: Final answer
    x = 459,274.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.