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Finding the Third Proportional to 254,690 and 373,010

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Solution

The third proportional to 254,690 and 373,010 is: 546,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,690 : 373,010 = 373,010 : x
  2. Step 2: Convert to fraction form
    254,690/373,010 = 373,010/x
  3. Step 3: Cross multiply
    254,690x = 373,010 × 373,010
  4. Step 4: Simplify right side
    254,690x = 139,136,460,100
  5. Step 5: Solve for x
    x = 139,136,460,100/254,690
  6. Step 6: Final answer
    x = 546,297.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.