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Finding the Third Proportional to 242,577 and 347,351

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Solution

The third proportional to 242,577 and 347,351 is: 497,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,577 : 347,351 = 347,351 : x
  2. Step 2: Convert to fraction form
    242,577/347,351 = 347,351/x
  3. Step 3: Cross multiply
    242,577x = 347,351 × 347,351
  4. Step 4: Simplify right side
    242,577x = 120,652,717,201
  5. Step 5: Solve for x
    x = 120,652,717,201/242,577
  6. Step 6: Final answer
    x = 497,379.05

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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.