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Finding the Third Proportional to 152,708.63 and 309,521.25

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Solution

The third proportional to 152,708.63 and 309,521.25 is: 627,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,708.63 : 309,521.25 = 309,521.25 : x
  2. Step 2: Convert to fraction form
    152,708.63/309,521.25 = 309,521.25/x
  3. Step 3: Cross multiply
    152,708.63x = 309,521.25 × 309,521.25
  4. Step 4: Simplify right side
    152,708.63x = 95,803,404,201.56
  5. Step 5: Solve for x
    x = 95,803,404,201.56/152,708.63
  6. Step 6: Final answer
    x = 627,360.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.