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Finding the Third Proportional to 153,825.19 and 236,124.56

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Solution

The third proportional to 153,825.19 and 236,124.56 is: 362,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,825.19 : 236,124.56 = 236,124.56 : x
  2. Step 2: Convert to fraction form
    153,825.19/236,124.56 = 236,124.56/x
  3. Step 3: Cross multiply
    153,825.19x = 236,124.56 × 236,124.56
  4. Step 4: Simplify right side
    153,825.19x = 55,754,809,015.82
  5. Step 5: Solve for x
    x = 55,754,809,015.82/153,825.19
  6. Step 6: Final answer
    x = 362,455.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.