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Finding the Third Proportional to 119,303 and 259,599

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Solution

The third proportional to 119,303 and 259,599 is: 564,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,303 : 259,599 = 259,599 : x
  2. Step 2: Convert to fraction form
    119,303/259,599 = 259,599/x
  3. Step 3: Cross multiply
    119,303x = 259,599 × 259,599
  4. Step 4: Simplify right side
    119,303x = 67,391,640,801
  5. Step 5: Solve for x
    x = 67,391,640,801/119,303
  6. Step 6: Final answer
    x = 564,878.01

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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.