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Finding the Third Proportional to 94,634 and 208,470

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Solution

The third proportional to 94,634 and 208,470 is: 459,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,634 : 208,470 = 208,470 : x
  2. Step 2: Convert to fraction form
    94,634/208,470 = 208,470/x
  3. Step 3: Cross multiply
    94,634x = 208,470 × 208,470
  4. Step 4: Simplify right side
    94,634x = 43,459,740,900
  5. Step 5: Solve for x
    x = 43,459,740,900/94,634
  6. Step 6: Final answer
    x = 459,240.24

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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.