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Finding the Third Proportional to 254,090 and 373,523

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Solution

The third proportional to 254,090 and 373,523 is: 549,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,090 : 373,523 = 373,523 : x
  2. Step 2: Convert to fraction form
    254,090/373,523 = 373,523/x
  3. Step 3: Cross multiply
    254,090x = 373,523 × 373,523
  4. Step 4: Simplify right side
    254,090x = 139,519,431,529
  5. Step 5: Solve for x
    x = 139,519,431,529/254,090
  6. Step 6: Final answer
    x = 549,094.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.