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Finding the Third Proportional to 157,504.50 and 252,656.72

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Solution

The third proportional to 157,504.50 and 252,656.72 is: 405,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,504.50 : 252,656.72 = 252,656.72 : x
  2. Step 2: Convert to fraction form
    157,504.50/252,656.72 = 252,656.72/x
  3. Step 3: Cross multiply
    157,504.50x = 252,656.72 × 252,656.72
  4. Step 4: Simplify right side
    157,504.50x = 63,835,417,529.52
  5. Step 5: Solve for x
    x = 63,835,417,529.52/157,504.50
  6. Step 6: Final answer
    x = 405,292.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.