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Finding the Third Proportional to 117,033 and 176,583.50

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Solution

The third proportional to 117,033 and 176,583.50 is: 266,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,033 : 176,583.50 = 176,583.50 : x
  2. Step 2: Convert to fraction form
    117,033/176,583.50 = 176,583.50/x
  3. Step 3: Cross multiply
    117,033x = 176,583.50 × 176,583.50
  4. Step 4: Simplify right side
    117,033x = 31,181,732,472.25
  5. Step 5: Solve for x
    x = 31,181,732,472.25/117,033
  6. Step 6: Final answer
    x = 266,435.39

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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.