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Finding the Third Proportional to 242,157 and 527,910

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Solution

The third proportional to 242,157 and 527,910 is: 1,150,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,157 : 527,910 = 527,910 : x
  2. Step 2: Convert to fraction form
    242,157/527,910 = 527,910/x
  3. Step 3: Cross multiply
    242,157x = 527,910 × 527,910
  4. Step 4: Simplify right side
    242,157x = 278,688,968,100
  5. Step 5: Solve for x
    x = 278,688,968,100/242,157
  6. Step 6: Final answer
    x = 1,150,860.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.