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Finding the Third Proportional to 235,430 and 360,214

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Solution

The third proportional to 235,430 and 360,214 is: 551,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,430 : 360,214 = 360,214 : x
  2. Step 2: Convert to fraction form
    235,430/360,214 = 360,214/x
  3. Step 3: Cross multiply
    235,430x = 360,214 × 360,214
  4. Step 4: Simplify right side
    235,430x = 129,754,125,796
  5. Step 5: Solve for x
    x = 129,754,125,796/235,430
  6. Step 6: Final answer
    x = 551,136.75

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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.