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Finding the Third Proportional to 176,998.50 and 265,446

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Solution

The third proportional to 176,998.50 and 265,446 is: 398,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,998.50 : 265,446 = 265,446 : x
  2. Step 2: Convert to fraction form
    176,998.50/265,446 = 265,446/x
  3. Step 3: Cross multiply
    176,998.50x = 265,446 × 265,446
  4. Step 4: Simplify right side
    176,998.50x = 70,461,578,916
  5. Step 5: Solve for x
    x = 70,461,578,916/176,998.50
  6. Step 6: Final answer
    x = 398,091.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.