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Finding the Third Proportional to 176,072 and 415,236

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Solution

The third proportional to 176,072 and 415,236 is: 979,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,072 : 415,236 = 415,236 : x
  2. Step 2: Convert to fraction form
    176,072/415,236 = 415,236/x
  3. Step 3: Cross multiply
    176,072x = 415,236 × 415,236
  4. Step 4: Simplify right side
    176,072x = 172,420,935,696
  5. Step 5: Solve for x
    x = 172,420,935,696/176,072
  6. Step 6: Final answer
    x = 979,263.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.