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Finding the Third Proportional to 116,841 and 253,365

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Solution

The third proportional to 116,841 and 253,365 is: 549,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,841 : 253,365 = 253,365 : x
  2. Step 2: Convert to fraction form
    116,841/253,365 = 253,365/x
  3. Step 3: Cross multiply
    116,841x = 253,365 × 253,365
  4. Step 4: Simplify right side
    116,841x = 64,193,823,225
  5. Step 5: Solve for x
    x = 64,193,823,225/116,841
  6. Step 6: Final answer
    x = 549,411.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.