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Finding the Third Proportional to 145,568 and 231,472

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Solution

The third proportional to 145,568 and 231,472 is: 368,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,568 : 231,472 = 231,472 : x
  2. Step 2: Convert to fraction form
    145,568/231,472 = 231,472/x
  3. Step 3: Cross multiply
    145,568x = 231,472 × 231,472
  4. Step 4: Simplify right side
    145,568x = 53,579,286,784
  5. Step 5: Solve for x
    x = 53,579,286,784/145,568
  6. Step 6: Final answer
    x = 368,070.50

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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.