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Finding the Third Proportional to 156,784.13 and 231,485.63

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Solution

The third proportional to 156,784.13 and 231,485.63 is: 341,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784.13 : 231,485.63 = 231,485.63 : x
  2. Step 2: Convert to fraction form
    156,784.13/231,485.63 = 231,485.63/x
  3. Step 3: Cross multiply
    156,784.13x = 231,485.63 × 231,485.63
  4. Step 4: Simplify right side
    156,784.13x = 53,585,594,581.64
  5. Step 5: Solve for x
    x = 53,585,594,581.64/156,784.13
  6. Step 6: Final answer
    x = 341,779.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.