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Finding the Third Proportional to 136,968 and 298,852

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Solution

The third proportional to 136,968 and 298,852 is: 652,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,968 : 298,852 = 298,852 : x
  2. Step 2: Convert to fraction form
    136,968/298,852 = 298,852/x
  3. Step 3: Cross multiply
    136,968x = 298,852 × 298,852
  4. Step 4: Simplify right side
    136,968x = 89,312,517,904
  5. Step 5: Solve for x
    x = 89,312,517,904/136,968
  6. Step 6: Final answer
    x = 652,068.50

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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.