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Finding the Third Proportional to 127,590 and 298,014

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Solution

The third proportional to 127,590 and 298,014 is: 696,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,590 : 298,014 = 298,014 : x
  2. Step 2: Convert to fraction form
    127,590/298,014 = 298,014/x
  3. Step 3: Cross multiply
    127,590x = 298,014 × 298,014
  4. Step 4: Simplify right side
    127,590x = 88,812,344,196
  5. Step 5: Solve for x
    x = 88,812,344,196/127,590
  6. Step 6: Final answer
    x = 696,076.06

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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.