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Finding the Third Proportional to 157,653.75 and 226,639.13

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Solution

The third proportional to 157,653.75 and 226,639.13 is: 325,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.75 : 226,639.13 = 226,639.13 : x
  2. Step 2: Convert to fraction form
    157,653.75/226,639.13 = 226,639.13/x
  3. Step 3: Cross multiply
    157,653.75x = 226,639.13 × 226,639.13
  4. Step 4: Simplify right side
    157,653.75x = 51,365,292,980.77
  5. Step 5: Solve for x
    x = 51,365,292,980.77/157,653.75
  6. Step 6: Final answer
    x = 325,810.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.