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Finding the Third Proportional to 242,629 and 367,338

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Solution

The third proportional to 242,629 and 367,338 is: 556,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,629 : 367,338 = 367,338 : x
  2. Step 2: Convert to fraction form
    242,629/367,338 = 367,338/x
  3. Step 3: Cross multiply
    242,629x = 367,338 × 367,338
  4. Step 4: Simplify right side
    242,629x = 134,937,206,244
  5. Step 5: Solve for x
    x = 134,937,206,244/242,629
  6. Step 6: Final answer
    x = 556,146.24

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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.