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Finding the Third Proportional to 137,835 and 281,502

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Solution

The third proportional to 137,835 and 281,502 is: 574,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,835 : 281,502 = 281,502 : x
  2. Step 2: Convert to fraction form
    137,835/281,502 = 281,502/x
  3. Step 3: Cross multiply
    137,835x = 281,502 × 281,502
  4. Step 4: Simplify right side
    137,835x = 79,243,376,004
  5. Step 5: Solve for x
    x = 79,243,376,004/137,835
  6. Step 6: Final answer
    x = 574,914.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.