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Finding the Third Proportional to 157,520.25 and 252,681.75

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Solution

The third proportional to 157,520.25 and 252,681.75 is: 405,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,520.25 : 252,681.75 = 252,681.75 : x
  2. Step 2: Convert to fraction form
    157,520.25/252,681.75 = 252,681.75/x
  3. Step 3: Cross multiply
    157,520.25x = 252,681.75 × 252,681.75
  4. Step 4: Simplify right side
    157,520.25x = 63,848,066,783.06
  5. Step 5: Solve for x
    x = 63,848,066,783.06/157,520.25
  6. Step 6: Final answer
    x = 405,332.44

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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.