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Finding the Third Proportional to 131,698.41 and 283,391.16

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Solution

The third proportional to 131,698.41 and 283,391.16 is: 609,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,698.41 : 283,391.16 = 283,391.16 : x
  2. Step 2: Convert to fraction form
    131,698.41/283,391.16 = 283,391.16/x
  3. Step 3: Cross multiply
    131,698.41x = 283,391.16 × 283,391.16
  4. Step 4: Simplify right side
    131,698.41x = 80,310,547,440.71
  5. Step 5: Solve for x
    x = 80,310,547,440.71/131,698.41
  6. Step 6: Final answer
    x = 609,806.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.