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Finding the Third Proportional to 242,904 and 384,036

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Solution

The third proportional to 242,904 and 384,036 is: 607,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904 : 384,036 = 384,036 : x
  2. Step 2: Convert to fraction form
    242,904/384,036 = 384,036/x
  3. Step 3: Cross multiply
    242,904x = 384,036 × 384,036
  4. Step 4: Simplify right side
    242,904x = 147,483,649,296
  5. Step 5: Solve for x
    x = 147,483,649,296/242,904
  6. Step 6: Final answer
    x = 607,168.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.