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Finding the Third Proportional to 240,817.50 and 370,284.75

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Solution

The third proportional to 240,817.50 and 370,284.75 is: 569,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,817.50 : 370,284.75 = 370,284.75 : x
  2. Step 2: Convert to fraction form
    240,817.50/370,284.75 = 370,284.75/x
  3. Step 3: Cross multiply
    240,817.50x = 370,284.75 × 370,284.75
  4. Step 4: Simplify right side
    240,817.50x = 137,110,796,082.56
  5. Step 5: Solve for x
    x = 137,110,796,082.56/240,817.50
  6. Step 6: Final answer
    x = 569,355.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.