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Finding the Third Proportional to 119,422 and 260,988

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Solution

The third proportional to 119,422 and 260,988 is: 570,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,422 : 260,988 = 260,988 : x
  2. Step 2: Convert to fraction form
    119,422/260,988 = 260,988/x
  3. Step 3: Cross multiply
    119,422x = 260,988 × 260,988
  4. Step 4: Simplify right side
    119,422x = 68,114,736,144
  5. Step 5: Solve for x
    x = 68,114,736,144/119,422
  6. Step 6: Final answer
    x = 570,370.08

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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.