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Finding the Third Proportional to 157,896 and 228,551.63

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Solution

The third proportional to 157,896 and 228,551.63 is: 330,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896 : 228,551.63 = 228,551.63 : x
  2. Step 2: Convert to fraction form
    157,896/228,551.63 = 228,551.63/x
  3. Step 3: Cross multiply
    157,896x = 228,551.63 × 228,551.63
  4. Step 4: Simplify right side
    157,896x = 52,235,845,290.14
  5. Step 5: Solve for x
    x = 52,235,845,290.14/157,896
  6. Step 6: Final answer
    x = 330,824.37

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.