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Finding the Third Proportional to 163,964 and 240,112

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Solution

The third proportional to 163,964 and 240,112 is: 351,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,964 : 240,112 = 240,112 : x
  2. Step 2: Convert to fraction form
    163,964/240,112 = 240,112/x
  3. Step 3: Cross multiply
    163,964x = 240,112 × 240,112
  4. Step 4: Simplify right side
    163,964x = 57,653,772,544
  5. Step 5: Solve for x
    x = 57,653,772,544/163,964
  6. Step 6: Final answer
    x = 351,624.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.