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Finding the Third Proportional to 255,706.88 and 383,560.31

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Solution

The third proportional to 255,706.88 and 383,560.31 is: 575,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,706.88 : 383,560.31 = 383,560.31 : x
  2. Step 2: Convert to fraction form
    255,706.88/383,560.31 = 383,560.31/x
  3. Step 3: Cross multiply
    255,706.88x = 383,560.31 × 383,560.31
  4. Step 4: Simplify right side
    255,706.88x = 147,118,513,325.10
  5. Step 5: Solve for x
    x = 147,118,513,325.10/255,706.88
  6. Step 6: Final answer
    x = 575,340.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.