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Finding the Third Proportional to 156,516.38 and 233,852.63

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Solution

The third proportional to 156,516.38 and 233,852.63 is: 349,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,516.38 : 233,852.63 = 233,852.63 : x
  2. Step 2: Convert to fraction form
    156,516.38/233,852.63 = 233,852.63/x
  3. Step 3: Cross multiply
    156,516.38x = 233,852.63 × 233,852.63
  4. Step 4: Simplify right side
    156,516.38x = 54,687,050,219.39
  5. Step 5: Solve for x
    x = 54,687,050,219.39/156,516.38
  6. Step 6: Final answer
    x = 349,401.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.