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Finding the Third Proportional to 112,478.63 and 237,603.38

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Solution

The third proportional to 112,478.63 and 237,603.38 is: 501,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,478.63 : 237,603.38 = 237,603.38 : x
  2. Step 2: Convert to fraction form
    112,478.63/237,603.38 = 237,603.38/x
  3. Step 3: Cross multiply
    112,478.63x = 237,603.38 × 237,603.38
  4. Step 4: Simplify right side
    112,478.63x = 56,455,363,811.39
  5. Step 5: Solve for x
    x = 56,455,363,811.39/112,478.63
  6. Step 6: Final answer
    x = 501,920.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.