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Finding the Third Proportional to 153,644.63 and 241,024.50

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Solution

The third proportional to 153,644.63 and 241,024.50 is: 378,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,644.63 : 241,024.50 = 241,024.50 : x
  2. Step 2: Convert to fraction form
    153,644.63/241,024.50 = 241,024.50/x
  3. Step 3: Cross multiply
    153,644.63x = 241,024.50 × 241,024.50
  4. Step 4: Simplify right side
    153,644.63x = 58,092,809,600.25
  5. Step 5: Solve for x
    x = 58,092,809,600.25/153,644.63
  6. Step 6: Final answer
    x = 378,098.55

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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.