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Finding the Third Proportional to 255,942 and 377,352

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Solution

The third proportional to 255,942 and 377,352 is: 556,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,942 : 377,352 = 377,352 : x
  2. Step 2: Convert to fraction form
    255,942/377,352 = 377,352/x
  3. Step 3: Cross multiply
    255,942x = 377,352 × 377,352
  4. Step 4: Simplify right side
    255,942x = 142,394,531,904
  5. Step 5: Solve for x
    x = 142,394,531,904/255,942
  6. Step 6: Final answer
    x = 556,354.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.