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Finding the Third Proportional to 242,504 and 367,113

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Solution

The third proportional to 242,504 and 367,113 is: 555,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,504 : 367,113 = 367,113 : x
  2. Step 2: Convert to fraction form
    242,504/367,113 = 367,113/x
  3. Step 3: Cross multiply
    242,504x = 367,113 × 367,113
  4. Step 4: Simplify right side
    242,504x = 134,771,954,769
  5. Step 5: Solve for x
    x = 134,771,954,769/242,504
  6. Step 6: Final answer
    x = 555,751.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.