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Finding the Third Proportional to 119,588 and 256,348

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Solution

The third proportional to 119,588 and 256,348 is: 549,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,588 : 256,348 = 256,348 : x
  2. Step 2: Convert to fraction form
    119,588/256,348 = 256,348/x
  3. Step 3: Cross multiply
    119,588x = 256,348 × 256,348
  4. Step 4: Simplify right side
    119,588x = 65,714,297,104
  5. Step 5: Solve for x
    x = 65,714,297,104/119,588
  6. Step 6: Final answer
    x = 549,505.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.