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Finding the Third Proportional to 114,925.50 and 243,533.25

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Solution

The third proportional to 114,925.50 and 243,533.25 is: 516,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,925.50 : 243,533.25 = 243,533.25 : x
  2. Step 2: Convert to fraction form
    114,925.50/243,533.25 = 243,533.25/x
  3. Step 3: Cross multiply
    114,925.50x = 243,533.25 × 243,533.25
  4. Step 4: Simplify right side
    114,925.50x = 59,308,443,855.56
  5. Step 5: Solve for x
    x = 59,308,443,855.56/114,925.50
  6. Step 6: Final answer
    x = 516,059.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.