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Finding the Third Proportional to 116,893 and 253,712

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Solution

The third proportional to 116,893 and 253,712 is: 550,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,893 : 253,712 = 253,712 : x
  2. Step 2: Convert to fraction form
    116,893/253,712 = 253,712/x
  3. Step 3: Cross multiply
    116,893x = 253,712 × 253,712
  4. Step 4: Simplify right side
    116,893x = 64,369,778,944
  5. Step 5: Solve for x
    x = 64,369,778,944/116,893
  6. Step 6: Final answer
    x = 550,672.66

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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.