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Finding the Third Proportional to 162,811.13 and 347,127.75

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Solution

The third proportional to 162,811.13 and 347,127.75 is: 740,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,811.13 : 347,127.75 = 347,127.75 : x
  2. Step 2: Convert to fraction form
    162,811.13/347,127.75 = 347,127.75/x
  3. Step 3: Cross multiply
    162,811.13x = 347,127.75 × 347,127.75
  4. Step 4: Simplify right side
    162,811.13x = 120,497,674,820.06
  5. Step 5: Solve for x
    x = 120,497,674,820.06/162,811.13
  6. Step 6: Final answer
    x = 740,107.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.