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Finding the Third Proportional to 119,896 and 243,335

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Solution

The third proportional to 119,896 and 243,335 is: 493,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,896 : 243,335 = 243,335 : x
  2. Step 2: Convert to fraction form
    119,896/243,335 = 243,335/x
  3. Step 3: Cross multiply
    119,896x = 243,335 × 243,335
  4. Step 4: Simplify right side
    119,896x = 59,211,922,225
  5. Step 5: Solve for x
    x = 59,211,922,225/119,896
  6. Step 6: Final answer
    x = 493,860.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.