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Finding the Third Proportional to 119,056 and 260,768

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Solution

The third proportional to 119,056 and 260,768 is: 571,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,056 : 260,768 = 260,768 : x
  2. Step 2: Convert to fraction form
    119,056/260,768 = 260,768/x
  3. Step 3: Cross multiply
    119,056x = 260,768 × 260,768
  4. Step 4: Simplify right side
    119,056x = 67,999,949,824
  5. Step 5: Solve for x
    x = 67,999,949,824/119,056
  6. Step 6: Final answer
    x = 571,159.37

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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.