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Finding the Third Proportional to 130,033 and 279,464

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Solution

The third proportional to 130,033 and 279,464 is: 600,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033 : 279,464 = 279,464 : x
  2. Step 2: Convert to fraction form
    130,033/279,464 = 279,464/x
  3. Step 3: Cross multiply
    130,033x = 279,464 × 279,464
  4. Step 4: Simplify right side
    130,033x = 78,100,127,296
  5. Step 5: Solve for x
    x = 78,100,127,296/130,033
  6. Step 6: Final answer
    x = 600,617.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.