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Finding the Third Proportional to 255,095 and 368,758

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Solution

The third proportional to 255,095 and 368,758 is: 533,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,095 : 368,758 = 368,758 : x
  2. Step 2: Convert to fraction form
    255,095/368,758 = 368,758/x
  3. Step 3: Cross multiply
    255,095x = 368,758 × 368,758
  4. Step 4: Simplify right side
    255,095x = 135,982,462,564
  5. Step 5: Solve for x
    x = 135,982,462,564/255,095
  6. Step 6: Final answer
    x = 533,065.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.