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Finding the Third Proportional to 144,105 and 334,999.50

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Solution

The third proportional to 144,105 and 334,999.50 is: 778,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,105 : 334,999.50 = 334,999.50 : x
  2. Step 2: Convert to fraction form
    144,105/334,999.50 = 334,999.50/x
  3. Step 3: Cross multiply
    144,105x = 334,999.50 × 334,999.50
  4. Step 4: Simplify right side
    144,105x = 112,224,665,000.25
  5. Step 5: Solve for x
    x = 112,224,665,000.25/144,105
  6. Step 6: Final answer
    x = 778,770.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.