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Finding the Third Proportional to 242,037 and 526,051.69

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Solution

The third proportional to 242,037 and 526,051.69 is: 1,143,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,037 : 526,051.69 = 526,051.69 : x
  2. Step 2: Convert to fraction form
    242,037/526,051.69 = 526,051.69/x
  3. Step 3: Cross multiply
    242,037x = 526,051.69 × 526,051.69
  4. Step 4: Simplify right side
    242,037x = 276,730,377,921.60
  5. Step 5: Solve for x
    x = 276,730,377,921.60/242,037
  6. Step 6: Final answer
    x = 1,143,339.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.