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Finding the Third Proportional to 119,989 and 262,574

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Solution

The third proportional to 119,989 and 262,574 is: 574,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,989 : 262,574 = 262,574 : x
  2. Step 2: Convert to fraction form
    119,989/262,574 = 262,574/x
  3. Step 3: Cross multiply
    119,989x = 262,574 × 262,574
  4. Step 4: Simplify right side
    119,989x = 68,945,105,476
  5. Step 5: Solve for x
    x = 68,945,105,476/119,989
  6. Step 6: Final answer
    x = 574,595.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.