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Finding the Third Proportional to 152,720.44 and 322,400.25

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Solution

The third proportional to 152,720.44 and 322,400.25 is: 680,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,720.44 : 322,400.25 = 322,400.25 : x
  2. Step 2: Convert to fraction form
    152,720.44/322,400.25 = 322,400.25/x
  3. Step 3: Cross multiply
    152,720.44x = 322,400.25 × 322,400.25
  4. Step 4: Simplify right side
    152,720.44x = 103,941,921,200.06
  5. Step 5: Solve for x
    x = 103,941,921,200.06/152,720.44
  6. Step 6: Final answer
    x = 680,602.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.