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Finding the Third Proportional to 237,083.63 and 363,544.88

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Solution

The third proportional to 237,083.63 and 363,544.88 is: 557,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,083.63 : 363,544.88 = 363,544.88 : x
  2. Step 2: Convert to fraction form
    237,083.63/363,544.88 = 363,544.88/x
  3. Step 3: Cross multiply
    237,083.63x = 363,544.88 × 363,544.88
  4. Step 4: Simplify right side
    237,083.63x = 132,164,876,138.77
  5. Step 5: Solve for x
    x = 132,164,876,138.77/237,083.63
  6. Step 6: Final answer
    x = 557,461.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.