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Finding the Third Proportional to 127,586.25 and 298,004.63

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Solution

The third proportional to 127,586.25 and 298,004.63 is: 696,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,586.25 : 298,004.63 = 298,004.63 : x
  2. Step 2: Convert to fraction form
    127,586.25/298,004.63 = 298,004.63/x
  3. Step 3: Cross multiply
    127,586.25x = 298,004.63 × 298,004.63
  4. Step 4: Simplify right side
    127,586.25x = 88,806,756,521.39
  5. Step 5: Solve for x
    x = 88,806,756,521.39/127,586.25
  6. Step 6: Final answer
    x = 696,052.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.