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Finding the Third Proportional to 153,085 and 241,367

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Solution

The third proportional to 153,085 and 241,367 is: 380,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,085 : 241,367 = 241,367 : x
  2. Step 2: Convert to fraction form
    153,085/241,367 = 241,367/x
  3. Step 3: Cross multiply
    153,085x = 241,367 × 241,367
  4. Step 4: Simplify right side
    153,085x = 58,258,028,689
  5. Step 5: Solve for x
    x = 58,258,028,689/153,085
  6. Step 6: Final answer
    x = 380,560.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.