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Finding the Third Proportional to 171,328.50 and 251,148

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Solution

The third proportional to 171,328.50 and 251,148 is: 368,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,328.50 : 251,148 = 251,148 : x
  2. Step 2: Convert to fraction form
    171,328.50/251,148 = 251,148/x
  3. Step 3: Cross multiply
    171,328.50x = 251,148 × 251,148
  4. Step 4: Simplify right side
    171,328.50x = 63,075,317,904
  5. Step 5: Solve for x
    x = 63,075,317,904/171,328.50
  6. Step 6: Final answer
    x = 368,154.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.