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Finding the Third Proportional to 162,819 and 348,999.75

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Solution

The third proportional to 162,819 and 348,999.75 is: 748,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,819 : 348,999.75 = 348,999.75 : x
  2. Step 2: Convert to fraction form
    162,819/348,999.75 = 348,999.75/x
  3. Step 3: Cross multiply
    162,819x = 348,999.75 × 348,999.75
  4. Step 4: Simplify right side
    162,819x = 121,800,825,500.06
  5. Step 5: Solve for x
    x = 121,800,825,500.06/162,819
  6. Step 6: Final answer
    x = 748,075.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.