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Finding the Third Proportional to 98,573 and 154,429

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Solution

The third proportional to 98,573 and 154,429 is: 241,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,573 : 154,429 = 154,429 : x
  2. Step 2: Convert to fraction form
    98,573/154,429 = 154,429/x
  3. Step 3: Cross multiply
    98,573x = 154,429 × 154,429
  4. Step 4: Simplify right side
    98,573x = 23,848,316,041
  5. Step 5: Solve for x
    x = 23,848,316,041/98,573
  6. Step 6: Final answer
    x = 241,935.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.