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Finding the Third Proportional to 242,696.63 and 379,888.88

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Solution

The third proportional to 242,696.63 and 379,888.88 is: 594,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,696.63 : 379,888.88 = 379,888.88 : x
  2. Step 2: Convert to fraction form
    242,696.63/379,888.88 = 379,888.88/x
  3. Step 3: Cross multiply
    242,696.63x = 379,888.88 × 379,888.88
  4. Step 4: Simplify right side
    242,696.63x = 144,315,557,348.77
  5. Step 5: Solve for x
    x = 144,315,557,348.77/242,696.63
  6. Step 6: Final answer
    x = 594,633.56

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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.