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Finding the Third Proportional to 155,720.25 and 240,583.50

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Solution

The third proportional to 155,720.25 and 240,583.50 is: 371,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,720.25 : 240,583.50 = 240,583.50 : x
  2. Step 2: Convert to fraction form
    155,720.25/240,583.50 = 240,583.50/x
  3. Step 3: Cross multiply
    155,720.25x = 240,583.50 × 240,583.50
  4. Step 4: Simplify right side
    155,720.25x = 57,880,420,472.25
  5. Step 5: Solve for x
    x = 57,880,420,472.25/155,720.25
  6. Step 6: Final answer
    x = 371,694.89

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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.