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Finding the Third Proportional to 140,496 and 304,804

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Solution

The third proportional to 140,496 and 304,804 is: 661,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,496 : 304,804 = 304,804 : x
  2. Step 2: Convert to fraction form
    140,496/304,804 = 304,804/x
  3. Step 3: Cross multiply
    140,496x = 304,804 × 304,804
  4. Step 4: Simplify right side
    140,496x = 92,905,478,416
  5. Step 5: Solve for x
    x = 92,905,478,416/140,496
  6. Step 6: Final answer
    x = 661,267.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.