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Finding the Third Proportional to 107,071 and 233,221

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Solution

The third proportional to 107,071 and 233,221 is: 507,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071 : 233,221 = 233,221 : x
  2. Step 2: Convert to fraction form
    107,071/233,221 = 233,221/x
  3. Step 3: Cross multiply
    107,071x = 233,221 × 233,221
  4. Step 4: Simplify right side
    107,071x = 54,392,034,841
  5. Step 5: Solve for x
    x = 54,392,034,841/107,071
  6. Step 6: Final answer
    x = 507,999.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.