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Finding the Third Proportional to 163,696.50 and 252,301.50

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Solution

The third proportional to 163,696.50 and 252,301.50 is: 388,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,696.50 : 252,301.50 = 252,301.50 : x
  2. Step 2: Convert to fraction form
    163,696.50/252,301.50 = 252,301.50/x
  3. Step 3: Cross multiply
    163,696.50x = 252,301.50 × 252,301.50
  4. Step 4: Simplify right side
    163,696.50x = 63,656,046,902.25
  5. Step 5: Solve for x
    x = 63,656,046,902.25/163,696.50
  6. Step 6: Final answer
    x = 388,866.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.