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Finding the Third Proportional to 235,156.50 and 357,657.75

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Solution

The third proportional to 235,156.50 and 357,657.75 is: 543,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,156.50 : 357,657.75 = 357,657.75 : x
  2. Step 2: Convert to fraction form
    235,156.50/357,657.75 = 357,657.75/x
  3. Step 3: Cross multiply
    235,156.50x = 357,657.75 × 357,657.75
  4. Step 4: Simplify right side
    235,156.50x = 127,919,066,135.06
  5. Step 5: Solve for x
    x = 127,919,066,135.06/235,156.50
  6. Step 6: Final answer
    x = 543,974.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.