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Finding the Third Proportional to 119,563 and 265,369

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Solution

The third proportional to 119,563 and 265,369 is: 588,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,563 : 265,369 = 265,369 : x
  2. Step 2: Convert to fraction form
    119,563/265,369 = 265,369/x
  3. Step 3: Cross multiply
    119,563x = 265,369 × 265,369
  4. Step 4: Simplify right side
    119,563x = 70,420,706,161
  5. Step 5: Solve for x
    x = 70,420,706,161/119,563
  6. Step 6: Final answer
    x = 588,984.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.