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Finding the Third Proportional to 245,212 and 374,946

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Solution

The third proportional to 245,212 and 374,946 is: 573,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,212 : 374,946 = 374,946 : x
  2. Step 2: Convert to fraction form
    245,212/374,946 = 374,946/x
  3. Step 3: Cross multiply
    245,212x = 374,946 × 374,946
  4. Step 4: Simplify right side
    245,212x = 140,584,502,916
  5. Step 5: Solve for x
    x = 140,584,502,916/245,212
  6. Step 6: Final answer
    x = 573,318.20

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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.