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Finding the Third Proportional to 242,235 and 346,743

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Solution

The third proportional to 242,235 and 346,743 is: 496,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,235 : 346,743 = 346,743 : x
  2. Step 2: Convert to fraction form
    242,235/346,743 = 346,743/x
  3. Step 3: Cross multiply
    242,235x = 346,743 × 346,743
  4. Step 4: Simplify right side
    242,235x = 120,230,708,049
  5. Step 5: Solve for x
    x = 120,230,708,049/242,235
  6. Step 6: Final answer
    x = 496,339.13

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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.