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Finding the Third Proportional to 208,485.56 and 435,064.50

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Solution

The third proportional to 208,485.56 and 435,064.50 is: 907,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,485.56 : 435,064.50 = 435,064.50 : x
  2. Step 2: Convert to fraction form
    208,485.56/435,064.50 = 435,064.50/x
  3. Step 3: Cross multiply
    208,485.56x = 435,064.50 × 435,064.50
  4. Step 4: Simplify right side
    208,485.56x = 189,281,119,160.25
  5. Step 5: Solve for x
    x = 189,281,119,160.25/208,485.56
  6. Step 6: Final answer
    x = 907,885.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.