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Finding the Third Proportional to 162,820.13 and 349,008.75

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Solution

The third proportional to 162,820.13 and 349,008.75 is: 748,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,820.13 : 349,008.75 = 349,008.75 : x
  2. Step 2: Convert to fraction form
    162,820.13/349,008.75 = 349,008.75/x
  3. Step 3: Cross multiply
    162,820.13x = 349,008.75 × 349,008.75
  4. Step 4: Simplify right side
    162,820.13x = 121,807,107,576.56
  5. Step 5: Solve for x
    x = 121,807,107,576.56/162,820.13
  6. Step 6: Final answer
    x = 748,108.43

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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.