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Finding the Third Proportional to 242,104 and 513,336

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Solution

The third proportional to 242,104 and 513,336 is: 1,088,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,104 : 513,336 = 513,336 : x
  2. Step 2: Convert to fraction form
    242,104/513,336 = 513,336/x
  3. Step 3: Cross multiply
    242,104x = 513,336 × 513,336
  4. Step 4: Simplify right side
    242,104x = 263,513,848,896
  5. Step 5: Solve for x
    x = 263,513,848,896/242,104
  6. Step 6: Final answer
    x = 1,088,432.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.