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Finding the Third Proportional to 185,935.50 and 406,903.50

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Solution

The third proportional to 185,935.50 and 406,903.50 is: 890,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,935.50 : 406,903.50 = 406,903.50 : x
  2. Step 2: Convert to fraction form
    185,935.50/406,903.50 = 406,903.50/x
  3. Step 3: Cross multiply
    185,935.50x = 406,903.50 × 406,903.50
  4. Step 4: Simplify right side
    185,935.50x = 165,570,458,312.25
  5. Step 5: Solve for x
    x = 165,570,458,312.25/185,935.50
  6. Step 6: Final answer
    x = 890,472.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.