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Finding the Third Proportional to 156,000.50 and 336,907

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Solution

The third proportional to 156,000.50 and 336,907 is: 727,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,000.50 : 336,907 = 336,907 : x
  2. Step 2: Convert to fraction form
    156,000.50/336,907 = 336,907/x
  3. Step 3: Cross multiply
    156,000.50x = 336,907 × 336,907
  4. Step 4: Simplify right side
    156,000.50x = 113,506,326,649
  5. Step 5: Solve for x
    x = 113,506,326,649/156,000.50
  6. Step 6: Final answer
    x = 727,602.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.