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Finding the Third Proportional to 152,874 and 325,431

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Solution

The third proportional to 152,874 and 325,431 is: 692,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874 : 325,431 = 325,431 : x
  2. Step 2: Convert to fraction form
    152,874/325,431 = 325,431/x
  3. Step 3: Cross multiply
    152,874x = 325,431 × 325,431
  4. Step 4: Simplify right side
    152,874x = 105,905,335,761
  5. Step 5: Solve for x
    x = 105,905,335,761/152,874
  6. Step 6: Final answer
    x = 692,762.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.