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Finding the Third Proportional to 203,156 and 470,242

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Solution

The third proportional to 203,156 and 470,242 is: 1,088,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,156 : 470,242 = 470,242 : x
  2. Step 2: Convert to fraction form
    203,156/470,242 = 470,242/x
  3. Step 3: Cross multiply
    203,156x = 470,242 × 470,242
  4. Step 4: Simplify right side
    203,156x = 221,127,538,564
  5. Step 5: Solve for x
    x = 221,127,538,564/203,156
  6. Step 6: Final answer
    x = 1,088,461.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.