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Finding the Third Proportional to 243,387.50 and 363,056.25

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Solution

The third proportional to 243,387.50 and 363,056.25 is: 541,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,387.50 : 363,056.25 = 363,056.25 : x
  2. Step 2: Convert to fraction form
    243,387.50/363,056.25 = 363,056.25/x
  3. Step 3: Cross multiply
    243,387.50x = 363,056.25 × 363,056.25
  4. Step 4: Simplify right side
    243,387.50x = 131,809,840,664.06
  5. Step 5: Solve for x
    x = 131,809,840,664.06/243,387.50
  6. Step 6: Final answer
    x = 541,563.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.