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Finding the Third Proportional to 242,820 and 367,611

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Solution

The third proportional to 242,820 and 367,611 is: 556,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,820 : 367,611 = 367,611 : x
  2. Step 2: Convert to fraction form
    242,820/367,611 = 367,611/x
  3. Step 3: Cross multiply
    242,820x = 367,611 × 367,611
  4. Step 4: Simplify right side
    242,820x = 135,137,847,321
  5. Step 5: Solve for x
    x = 135,137,847,321/242,820
  6. Step 6: Final answer
    x = 556,535.08

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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.