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Finding the Third Proportional to 242,242 and 346,754

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Solution

The third proportional to 242,242 and 346,754 is: 496,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,242 : 346,754 = 346,754 : x
  2. Step 2: Convert to fraction form
    242,242/346,754 = 346,754/x
  3. Step 3: Cross multiply
    242,242x = 346,754 × 346,754
  4. Step 4: Simplify right side
    242,242x = 120,238,336,516
  5. Step 5: Solve for x
    x = 120,238,336,516/242,242
  6. Step 6: Final answer
    x = 496,356.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.