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Finding the Third Proportional to 119,858 and 266,319

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Solution

The third proportional to 119,858 and 266,319 is: 591,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,858 : 266,319 = 266,319 : x
  2. Step 2: Convert to fraction form
    119,858/266,319 = 266,319/x
  3. Step 3: Cross multiply
    119,858x = 266,319 × 266,319
  4. Step 4: Simplify right side
    119,858x = 70,925,809,761
  5. Step 5: Solve for x
    x = 70,925,809,761/119,858
  6. Step 6: Final answer
    x = 591,748.65

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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.