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Finding the Third Proportional to 156,783.38 and 236,644.31

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Solution

The third proportional to 156,783.38 and 236,644.31 is: 357,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,783.38 : 236,644.31 = 236,644.31 : x
  2. Step 2: Convert to fraction form
    156,783.38/236,644.31 = 236,644.31/x
  3. Step 3: Cross multiply
    156,783.38x = 236,644.31 × 236,644.31
  4. Step 4: Simplify right side
    156,783.38x = 56,000,530,638.60
  5. Step 5: Solve for x
    x = 56,000,530,638.60/156,783.38
  6. Step 6: Final answer
    x = 357,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.