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Finding the Third Proportional to 242,677 and 367,410

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Solution

The third proportional to 242,677 and 367,410 is: 556,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,677 : 367,410 = 367,410 : x
  2. Step 2: Convert to fraction form
    242,677/367,410 = 367,410/x
  3. Step 3: Cross multiply
    242,677x = 367,410 × 367,410
  4. Step 4: Simplify right side
    242,677x = 134,990,108,100
  5. Step 5: Solve for x
    x = 134,990,108,100/242,677
  6. Step 6: Final answer
    x = 556,254.23

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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.