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Finding the Third Proportional to 224,566.50 and 357,135.75

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Solution

The third proportional to 224,566.50 and 357,135.75 is: 567,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,566.50 : 357,135.75 = 357,135.75 : x
  2. Step 2: Convert to fraction form
    224,566.50/357,135.75 = 357,135.75/x
  3. Step 3: Cross multiply
    224,566.50x = 357,135.75 × 357,135.75
  4. Step 4: Simplify right side
    224,566.50x = 127,545,943,928.06
  5. Step 5: Solve for x
    x = 127,545,943,928.06/224,566.50
  6. Step 6: Final answer
    x = 567,965.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.