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Finding the Third Proportional to 157,659.54 and 236,258.65

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Solution

The third proportional to 157,659.54 and 236,258.65 is: 354,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,659.54 : 236,258.65 = 236,258.65 : x
  2. Step 2: Convert to fraction form
    157,659.54/236,258.65 = 236,258.65/x
  3. Step 3: Cross multiply
    157,659.54x = 236,258.65 × 236,258.65
  4. Step 4: Simplify right side
    157,659.54x = 55,818,148,961.51
  5. Step 5: Solve for x
    x = 55,818,148,961.51/157,659.54
  6. Step 6: Final answer
    x = 354,042.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.