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Finding the Third Proportional to 187,303.50 and 407,866.50

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Solution

The third proportional to 187,303.50 and 407,866.50 is: 888,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,303.50 : 407,866.50 = 407,866.50 : x
  2. Step 2: Convert to fraction form
    187,303.50/407,866.50 = 407,866.50/x
  3. Step 3: Cross multiply
    187,303.50x = 407,866.50 × 407,866.50
  4. Step 4: Simplify right side
    187,303.50x = 166,355,081,822.25
  5. Step 5: Solve for x
    x = 166,355,081,822.25/187,303.50
  6. Step 6: Final answer
    x = 888,157.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.