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Finding the Third Proportional to 130,610 and 290,404

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Solution

The third proportional to 130,610 and 290,404 is: 645,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,610 : 290,404 = 290,404 : x
  2. Step 2: Convert to fraction form
    130,610/290,404 = 290,404/x
  3. Step 3: Cross multiply
    130,610x = 290,404 × 290,404
  4. Step 4: Simplify right side
    130,610x = 84,334,483,216
  5. Step 5: Solve for x
    x = 84,334,483,216/130,610
  6. Step 6: Final answer
    x = 645,696.99

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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.