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Finding the Third Proportional to 136,574 and 298,054

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Solution

The third proportional to 136,574 and 298,054 is: 650,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,574 : 298,054 = 298,054 : x
  2. Step 2: Convert to fraction form
    136,574/298,054 = 298,054/x
  3. Step 3: Cross multiply
    136,574x = 298,054 × 298,054
  4. Step 4: Simplify right side
    136,574x = 88,836,186,916
  5. Step 5: Solve for x
    x = 88,836,186,916/136,574
  6. Step 6: Final answer
    x = 650,461.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.