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Finding the Third Proportional to 255,765.38 and 382,068.56

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Solution

The third proportional to 255,765.38 and 382,068.56 is: 570,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,765.38 : 382,068.56 = 382,068.56 : x
  2. Step 2: Convert to fraction form
    255,765.38/382,068.56 = 382,068.56/x
  3. Step 3: Cross multiply
    255,765.38x = 382,068.56 × 382,068.56
  4. Step 4: Simplify right side
    255,765.38x = 145,976,386,450.82
  5. Step 5: Solve for x
    x = 145,976,386,450.82/255,765.38
  6. Step 6: Final answer
    x = 570,743.35

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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.