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Finding the Third Proportional to 116,574 and 254,225

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Solution

The third proportional to 116,574 and 254,225 is: 554,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,574 : 254,225 = 254,225 : x
  2. Step 2: Convert to fraction form
    116,574/254,225 = 254,225/x
  3. Step 3: Cross multiply
    116,574x = 254,225 × 254,225
  4. Step 4: Simplify right side
    116,574x = 64,630,350,625
  5. Step 5: Solve for x
    x = 64,630,350,625/116,574
  6. Step 6: Final answer
    x = 554,414.80

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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.