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Finding the Third Proportional to 218,714 and 316,082

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Solution

The third proportional to 218,714 and 316,082 is: 456,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714 : 316,082 = 316,082 : x
  2. Step 2: Convert to fraction form
    218,714/316,082 = 316,082/x
  3. Step 3: Cross multiply
    218,714x = 316,082 × 316,082
  4. Step 4: Simplify right side
    218,714x = 99,907,830,724
  5. Step 5: Solve for x
    x = 99,907,830,724/218,714
  6. Step 6: Final answer
    x = 456,796.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.