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Finding the Third Proportional to 163,675.69 and 252,264.38

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Solution

The third proportional to 163,675.69 and 252,264.38 is: 388,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,675.69 : 252,264.38 = 252,264.38 : x
  2. Step 2: Convert to fraction form
    163,675.69/252,264.38 = 252,264.38/x
  3. Step 3: Cross multiply
    163,675.69x = 252,264.38 × 252,264.38
  4. Step 4: Simplify right side
    163,675.69x = 63,637,314,894.14
  5. Step 5: Solve for x
    x = 63,637,314,894.14/163,675.69
  6. Step 6: Final answer
    x = 388,801.27

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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.