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Finding the Third Proportional to 235,426 and 360,213

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Solution

The third proportional to 235,426 and 360,213 is: 551,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,426 : 360,213 = 360,213 : x
  2. Step 2: Convert to fraction form
    235,426/360,213 = 360,213/x
  3. Step 3: Cross multiply
    235,426x = 360,213 × 360,213
  4. Step 4: Simplify right side
    235,426x = 129,753,405,369
  5. Step 5: Solve for x
    x = 129,753,405,369/235,426
  6. Step 6: Final answer
    x = 551,143.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.