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Finding the Third Proportional to 251,140 and 542,114

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Solution

The third proportional to 251,140 and 542,114 is: 1,170,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,140 : 542,114 = 542,114 : x
  2. Step 2: Convert to fraction form
    251,140/542,114 = 542,114/x
  3. Step 3: Cross multiply
    251,140x = 542,114 × 542,114
  4. Step 4: Simplify right side
    251,140x = 293,887,588,996
  5. Step 5: Solve for x
    x = 293,887,588,996/251,140
  6. Step 6: Final answer
    x = 1,170,214.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.