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Finding the Third Proportional to 235,419 and 360,202.50

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Solution

The third proportional to 235,419 and 360,202.50 is: 551,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,419 : 360,202.50 = 360,202.50 : x
  2. Step 2: Convert to fraction form
    235,419/360,202.50 = 360,202.50/x
  3. Step 3: Cross multiply
    235,419x = 360,202.50 × 360,202.50
  4. Step 4: Simplify right side
    235,419x = 129,745,841,006.25
  5. Step 5: Solve for x
    x = 129,745,841,006.25/235,419
  6. Step 6: Final answer
    x = 551,127.31

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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.