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Finding the Third Proportional to 117,670 and 256,492

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Solution

The third proportional to 117,670 and 256,492 is: 559,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,670 : 256,492 = 256,492 : x
  2. Step 2: Convert to fraction form
    117,670/256,492 = 256,492/x
  3. Step 3: Cross multiply
    117,670x = 256,492 × 256,492
  4. Step 4: Simplify right side
    117,670x = 65,788,146,064
  5. Step 5: Solve for x
    x = 65,788,146,064/117,670
  6. Step 6: Final answer
    x = 559,090.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.