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Finding the Third Proportional to 145,568.63 and 231,475.13

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Solution

The third proportional to 145,568.63 and 231,475.13 is: 368,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,568.63 : 231,475.13 = 231,475.13 : x
  2. Step 2: Convert to fraction form
    145,568.63/231,475.13 = 231,475.13/x
  3. Step 3: Cross multiply
    145,568.63x = 231,475.13 × 231,475.13
  4. Step 4: Simplify right side
    145,568.63x = 53,580,733,493.77
  5. Step 5: Solve for x
    x = 53,580,733,493.77/145,568.63
  6. Step 6: Final answer
    x = 368,078.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.