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Finding the Third Proportional to 153,654 and 241,038

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Solution

The third proportional to 153,654 and 241,038 is: 378,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,654 : 241,038 = 241,038 : x
  2. Step 2: Convert to fraction form
    153,654/241,038 = 241,038/x
  3. Step 3: Cross multiply
    153,654x = 241,038 × 241,038
  4. Step 4: Simplify right side
    153,654x = 58,099,317,444
  5. Step 5: Solve for x
    x = 58,099,317,444/153,654
  6. Step 6: Final answer
    x = 378,117.83

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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.