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Finding the Third Proportional to 152,401.50 and 319,747.50

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Solution

The third proportional to 152,401.50 and 319,747.50 is: 670,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,401.50 : 319,747.50 = 319,747.50 : x
  2. Step 2: Convert to fraction form
    152,401.50/319,747.50 = 319,747.50/x
  3. Step 3: Cross multiply
    152,401.50x = 319,747.50 × 319,747.50
  4. Step 4: Simplify right side
    152,401.50x = 102,238,463,756.25
  5. Step 5: Solve for x
    x = 102,238,463,756.25/152,401.50
  6. Step 6: Final answer
    x = 670,849.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.