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Finding the Third Proportional to 203,856.75 and 435,763.13

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Solution

The third proportional to 203,856.75 and 435,763.13 is: 931,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.75 : 435,763.13 = 435,763.13 : x
  2. Step 2: Convert to fraction form
    203,856.75/435,763.13 = 435,763.13/x
  3. Step 3: Cross multiply
    203,856.75x = 435,763.13 × 435,763.13
  4. Step 4: Simplify right side
    203,856.75x = 189,889,501,109.77
  5. Step 5: Solve for x
    x = 189,889,501,109.77/203,856.75
  6. Step 6: Final answer
    x = 931,484.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.