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Finding the Third Proportional to 240,783.75 and 357,709.50

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Solution

The third proportional to 240,783.75 and 357,709.50 is: 531,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,783.75 : 357,709.50 = 357,709.50 : x
  2. Step 2: Convert to fraction form
    240,783.75/357,709.50 = 357,709.50/x
  3. Step 3: Cross multiply
    240,783.75x = 357,709.50 × 357,709.50
  4. Step 4: Simplify right side
    240,783.75x = 127,956,086,390.25
  5. Step 5: Solve for x
    x = 127,956,086,390.25/240,783.75
  6. Step 6: Final answer
    x = 531,414.96

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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.