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Finding the Third Proportional to 255,672 and 383,346

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Solution

The third proportional to 255,672 and 383,346 is: 574,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,672 : 383,346 = 383,346 : x
  2. Step 2: Convert to fraction form
    255,672/383,346 = 383,346/x
  3. Step 3: Cross multiply
    255,672x = 383,346 × 383,346
  4. Step 4: Simplify right side
    255,672x = 146,954,155,716
  5. Step 5: Solve for x
    x = 146,954,155,716/255,672
  6. Step 6: Final answer
    x = 574,776.10

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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.