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Finding the Third Proportional to 152,300.50 and 330,024.50

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Solution

The third proportional to 152,300.50 and 330,024.50 is: 715,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300.50 : 330,024.50 = 330,024.50 : x
  2. Step 2: Convert to fraction form
    152,300.50/330,024.50 = 330,024.50/x
  3. Step 3: Cross multiply
    152,300.50x = 330,024.50 × 330,024.50
  4. Step 4: Simplify right side
    152,300.50x = 108,916,170,600.25
  5. Step 5: Solve for x
    x = 108,916,170,600.25/152,300.50
  6. Step 6: Final answer
    x = 715,139.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.