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Finding the Third Proportional to 116,420.63 and 175,311

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Solution

The third proportional to 116,420.63 and 175,311 is: 263,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,420.63 : 175,311 = 175,311 : x
  2. Step 2: Convert to fraction form
    116,420.63/175,311 = 175,311/x
  3. Step 3: Cross multiply
    116,420.63x = 175,311 × 175,311
  4. Step 4: Simplify right side
    116,420.63x = 30,733,946,721
  5. Step 5: Solve for x
    x = 30,733,946,721/116,420.63
  6. Step 6: Final answer
    x = 263,990.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.