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Finding the Third Proportional to 242,166 and 377,964

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Solution

The third proportional to 242,166 and 377,964 is: 589,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,166 : 377,964 = 377,964 : x
  2. Step 2: Convert to fraction form
    242,166/377,964 = 377,964/x
  3. Step 3: Cross multiply
    242,166x = 377,964 × 377,964
  4. Step 4: Simplify right side
    242,166x = 142,856,785,296
  5. Step 5: Solve for x
    x = 142,856,785,296/242,166
  6. Step 6: Final answer
    x = 589,912.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.