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Finding the Third Proportional to 104,314 and 223,387.50

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Solution

The third proportional to 104,314 and 223,387.50 is: 478,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,314 : 223,387.50 = 223,387.50 : x
  2. Step 2: Convert to fraction form
    104,314/223,387.50 = 223,387.50/x
  3. Step 3: Cross multiply
    104,314x = 223,387.50 × 223,387.50
  4. Step 4: Simplify right side
    104,314x = 49,901,975,156.25
  5. Step 5: Solve for x
    x = 49,901,975,156.25/104,314
  6. Step 6: Final answer
    x = 478,382.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.