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Finding the Third Proportional to 283,368 and 434,160

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Solution

The third proportional to 283,368 and 434,160 is: 665,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,368 : 434,160 = 434,160 : x
  2. Step 2: Convert to fraction form
    283,368/434,160 = 434,160/x
  3. Step 3: Cross multiply
    283,368x = 434,160 × 434,160
  4. Step 4: Simplify right side
    283,368x = 188,494,905,600
  5. Step 5: Solve for x
    x = 188,494,905,600/283,368
  6. Step 6: Final answer
    x = 665,194.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.