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Finding the Third Proportional to 136,090 and 298,748

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Solution

The third proportional to 136,090 and 298,748 is: 655,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,090 : 298,748 = 298,748 : x
  2. Step 2: Convert to fraction form
    136,090/298,748 = 298,748/x
  3. Step 3: Cross multiply
    136,090x = 298,748 × 298,748
  4. Step 4: Simplify right side
    136,090x = 89,250,367,504
  5. Step 5: Solve for x
    x = 89,250,367,504/136,090
  6. Step 6: Final answer
    x = 655,818.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.