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Finding the Third Proportional to 119,301 and 259,595

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Solution

The third proportional to 119,301 and 259,595 is: 564,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,301 : 259,595 = 259,595 : x
  2. Step 2: Convert to fraction form
    119,301/259,595 = 259,595/x
  3. Step 3: Cross multiply
    119,301x = 259,595 × 259,595
  4. Step 4: Simplify right side
    119,301x = 67,389,564,025
  5. Step 5: Solve for x
    x = 67,389,564,025/119,301
  6. Step 6: Final answer
    x = 564,870.07

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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.