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Finding the Third Proportional to 210,210.75 and 325,642.50

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Solution

The third proportional to 210,210.75 and 325,642.50 is: 504,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,210.75 : 325,642.50 = 325,642.50 : x
  2. Step 2: Convert to fraction form
    210,210.75/325,642.50 = 325,642.50/x
  3. Step 3: Cross multiply
    210,210.75x = 325,642.50 × 325,642.50
  4. Step 4: Simplify right side
    210,210.75x = 106,043,037,806.25
  5. Step 5: Solve for x
    x = 106,043,037,806.25/210,210.75
  6. Step 6: Final answer
    x = 504,460.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.