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Finding the Third Proportional to 83,461.50 and 176,855.63

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Solution

The third proportional to 83,461.50 and 176,855.63 is: 374,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.50 : 176,855.63 = 176,855.63 : x
  2. Step 2: Convert to fraction form
    83,461.50/176,855.63 = 176,855.63/x
  3. Step 3: Cross multiply
    83,461.50x = 176,855.63 × 176,855.63
  4. Step 4: Simplify right side
    83,461.50x = 31,277,912,094.14
  5. Step 5: Solve for x
    x = 31,277,912,094.14/83,461.50
  6. Step 6: Final answer
    x = 374,758.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.