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Finding the Third Proportional to 118,020 and 259,368

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Solution

The third proportional to 118,020 and 259,368 is: 570,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,020 : 259,368 = 259,368 : x
  2. Step 2: Convert to fraction form
    118,020/259,368 = 259,368/x
  3. Step 3: Cross multiply
    118,020x = 259,368 × 259,368
  4. Step 4: Simplify right side
    118,020x = 67,271,759,424
  5. Step 5: Solve for x
    x = 67,271,759,424/118,020
  6. Step 6: Final answer
    x = 570,003.05

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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.