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Finding the Third Proportional to 151,527 and 318,714

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Solution

The third proportional to 151,527 and 318,714 is: 670,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,527 : 318,714 = 318,714 : x
  2. Step 2: Convert to fraction form
    151,527/318,714 = 318,714/x
  3. Step 3: Cross multiply
    151,527x = 318,714 × 318,714
  4. Step 4: Simplify right side
    151,527x = 101,578,613,796
  5. Step 5: Solve for x
    x = 101,578,613,796/151,527
  6. Step 6: Final answer
    x = 670,366.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.