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Finding the Third Proportional to 242,696.25 and 379,886.63

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Solution

The third proportional to 242,696.25 and 379,886.63 is: 594,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,696.25 : 379,886.63 = 379,886.63 : x
  2. Step 2: Convert to fraction form
    242,696.25/379,886.63 = 379,886.63/x
  3. Step 3: Cross multiply
    242,696.25x = 379,886.63 × 379,886.63
  4. Step 4: Simplify right side
    242,696.25x = 144,313,847,853.89
  5. Step 5: Solve for x
    x = 144,313,847,853.89/242,696.25
  6. Step 6: Final answer
    x = 594,627.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.