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Finding the Third Proportional to 119,372 and 257,423

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Solution

The third proportional to 119,372 and 257,423 is: 555,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,372 : 257,423 = 257,423 : x
  2. Step 2: Convert to fraction form
    119,372/257,423 = 257,423/x
  3. Step 3: Cross multiply
    119,372x = 257,423 × 257,423
  4. Step 4: Simplify right side
    119,372x = 66,266,600,929
  5. Step 5: Solve for x
    x = 66,266,600,929/119,372
  6. Step 6: Final answer
    x = 555,126.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.