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Finding the Third Proportional to 119,000 and 259,312

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Solution

The third proportional to 119,000 and 259,312 is: 565,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,000 : 259,312 = 259,312 : x
  2. Step 2: Convert to fraction form
    119,000/259,312 = 259,312/x
  3. Step 3: Cross multiply
    119,000x = 259,312 × 259,312
  4. Step 4: Simplify right side
    119,000x = 67,242,713,344
  5. Step 5: Solve for x
    x = 67,242,713,344/119,000
  6. Step 6: Final answer
    x = 565,064.82

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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.