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Finding the Third Proportional to 113,955 and 245,431

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Solution

The third proportional to 113,955 and 245,431 is: 528,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,955 : 245,431 = 245,431 : x
  2. Step 2: Convert to fraction form
    113,955/245,431 = 245,431/x
  3. Step 3: Cross multiply
    113,955x = 245,431 × 245,431
  4. Step 4: Simplify right side
    113,955x = 60,236,375,761
  5. Step 5: Solve for x
    x = 60,236,375,761/113,955
  6. Step 6: Final answer
    x = 528,597.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.