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Finding the Third Proportional to 151,746.75 and 325,633.50

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Solution

The third proportional to 151,746.75 and 325,633.50 is: 698,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,746.75 : 325,633.50 = 325,633.50 : x
  2. Step 2: Convert to fraction form
    151,746.75/325,633.50 = 325,633.50/x
  3. Step 3: Cross multiply
    151,746.75x = 325,633.50 × 325,633.50
  4. Step 4: Simplify right side
    151,746.75x = 106,037,176,322.25
  5. Step 5: Solve for x
    x = 106,037,176,322.25/151,746.75
  6. Step 6: Final answer
    x = 698,777.25

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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.