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Finding the Third Proportional to 162,283 and 353,137

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Solution

The third proportional to 162,283 and 353,137 is: 768,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,283 : 353,137 = 353,137 : x
  2. Step 2: Convert to fraction form
    162,283/353,137 = 353,137/x
  3. Step 3: Cross multiply
    162,283x = 353,137 × 353,137
  4. Step 4: Simplify right side
    162,283x = 124,705,740,769
  5. Step 5: Solve for x
    x = 124,705,740,769/162,283
  6. Step 6: Final answer
    x = 768,446.11

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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.