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Finding the Third Proportional to 253,050 and 371,961

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Solution

The third proportional to 253,050 and 371,961 is: 546,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,050 : 371,961 = 371,961 : x
  2. Step 2: Convert to fraction form
    253,050/371,961 = 371,961/x
  3. Step 3: Cross multiply
    253,050x = 371,961 × 371,961
  4. Step 4: Simplify right side
    253,050x = 138,354,985,521
  5. Step 5: Solve for x
    x = 138,354,985,521/253,050
  6. Step 6: Final answer
    x = 546,749.60

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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.