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Finding the Third Proportional to 163,674 and 252,740.25

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Solution

The third proportional to 163,674 and 252,740.25 is: 390,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674 : 252,740.25 = 252,740.25 : x
  2. Step 2: Convert to fraction form
    163,674/252,740.25 = 252,740.25/x
  3. Step 3: Cross multiply
    163,674x = 252,740.25 × 252,740.25
  4. Step 4: Simplify right side
    163,674x = 63,877,633,970.06
  5. Step 5: Solve for x
    x = 63,877,633,970.06/163,674
  6. Step 6: Final answer
    x = 390,273.56

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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.