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Finding the Third Proportional to 203,572 and 435,094

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Solution

The third proportional to 203,572 and 435,094 is: 929,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,572 : 435,094 = 435,094 : x
  2. Step 2: Convert to fraction form
    203,572/435,094 = 435,094/x
  3. Step 3: Cross multiply
    203,572x = 435,094 × 435,094
  4. Step 4: Simplify right side
    203,572x = 189,306,788,836
  5. Step 5: Solve for x
    x = 189,306,788,836/203,572
  6. Step 6: Final answer
    x = 929,925.48

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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.