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Finding the Third Proportional to 245,180 and 374,905

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Solution

The third proportional to 245,180 and 374,905 is: 573,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,180 : 374,905 = 374,905 : x
  2. Step 2: Convert to fraction form
    245,180/374,905 = 374,905/x
  3. Step 3: Cross multiply
    245,180x = 374,905 × 374,905
  4. Step 4: Simplify right side
    245,180x = 140,553,759,025
  5. Step 5: Solve for x
    x = 140,553,759,025/245,180
  6. Step 6: Final answer
    x = 573,267.64

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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.