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Finding the Third Proportional to 255,264 and 365,373

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Solution

The third proportional to 255,264 and 365,373 is: 522,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,264 : 365,373 = 365,373 : x
  2. Step 2: Convert to fraction form
    255,264/365,373 = 365,373/x
  3. Step 3: Cross multiply
    255,264x = 365,373 × 365,373
  4. Step 4: Simplify right side
    255,264x = 133,497,429,129
  5. Step 5: Solve for x
    x = 133,497,429,129/255,264
  6. Step 6: Final answer
    x = 522,977.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.