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Finding the Third Proportional to 193,113 and 282,756.38

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Solution

The third proportional to 193,113 and 282,756.38 is: 414,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,113 : 282,756.38 = 282,756.38 : x
  2. Step 2: Convert to fraction form
    193,113/282,756.38 = 282,756.38/x
  3. Step 3: Cross multiply
    193,113x = 282,756.38 × 282,756.38
  4. Step 4: Simplify right side
    193,113x = 79,951,167,603.14
  5. Step 5: Solve for x
    x = 79,951,167,603.14/193,113
  6. Step 6: Final answer
    x = 414,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.