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Finding the Third Proportional to 118,432 and 259,007

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Solution

The third proportional to 118,432 and 259,007 is: 566,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,432 : 259,007 = 259,007 : x
  2. Step 2: Convert to fraction form
    118,432/259,007 = 259,007/x
  3. Step 3: Cross multiply
    118,432x = 259,007 × 259,007
  4. Step 4: Simplify right side
    118,432x = 67,084,626,049
  5. Step 5: Solve for x
    x = 67,084,626,049/118,432
  6. Step 6: Final answer
    x = 566,440.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.