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Finding the Third Proportional to 117,504 and 176,516.50

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Solution

The third proportional to 117,504 and 176,516.50 is: 265,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,504 : 176,516.50 = 176,516.50 : x
  2. Step 2: Convert to fraction form
    117,504/176,516.50 = 176,516.50/x
  3. Step 3: Cross multiply
    117,504x = 176,516.50 × 176,516.50
  4. Step 4: Simplify right side
    117,504x = 31,158,074,772.25
  5. Step 5: Solve for x
    x = 31,158,074,772.25/117,504
  6. Step 6: Final answer
    x = 265,166.08

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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.