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Finding the Third Proportional to 162,282 and 353,135

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Solution

The third proportional to 162,282 and 353,135 is: 768,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,282 : 353,135 = 353,135 : x
  2. Step 2: Convert to fraction form
    162,282/353,135 = 353,135/x
  3. Step 3: Cross multiply
    162,282x = 353,135 × 353,135
  4. Step 4: Simplify right side
    162,282x = 124,704,328,225
  5. Step 5: Solve for x
    x = 124,704,328,225/162,282
  6. Step 6: Final answer
    x = 768,442.15

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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.