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Finding the Third Proportional to 243,677 and 356,011

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Solution

The third proportional to 243,677 and 356,011 is: 520,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,677 : 356,011 = 356,011 : x
  2. Step 2: Convert to fraction form
    243,677/356,011 = 356,011/x
  3. Step 3: Cross multiply
    243,677x = 356,011 × 356,011
  4. Step 4: Simplify right side
    243,677x = 126,743,832,121
  5. Step 5: Solve for x
    x = 126,743,832,121/243,677
  6. Step 6: Final answer
    x = 520,130.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.