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Finding the Third Proportional to 253,241.50 and 386,294.50

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Solution

The third proportional to 253,241.50 and 386,294.50 is: 589,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,241.50 : 386,294.50 = 386,294.50 : x
  2. Step 2: Convert to fraction form
    253,241.50/386,294.50 = 386,294.50/x
  3. Step 3: Cross multiply
    253,241.50x = 386,294.50 × 386,294.50
  4. Step 4: Simplify right side
    253,241.50x = 149,223,440,730.25
  5. Step 5: Solve for x
    x = 149,223,440,730.25/253,241.50
  6. Step 6: Final answer
    x = 589,253.50

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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.