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Finding the Third Proportional to 156,470.63 and 234,599.63

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Solution

The third proportional to 156,470.63 and 234,599.63 is: 351,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,470.63 : 234,599.63 = 234,599.63 : x
  2. Step 2: Convert to fraction form
    156,470.63/234,599.63 = 234,599.63/x
  3. Step 3: Cross multiply
    156,470.63x = 234,599.63 × 234,599.63
  4. Step 4: Simplify right side
    156,470.63x = 55,036,984,050.14
  5. Step 5: Solve for x
    x = 55,036,984,050.14/156,470.63
  6. Step 6: Final answer
    x = 351,740.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.