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Finding the Third Proportional to 152,953.31 and 330,510.38

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Solution

The third proportional to 152,953.31 and 330,510.38 is: 714,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,953.31 : 330,510.38 = 330,510.38 : x
  2. Step 2: Convert to fraction form
    152,953.31/330,510.38 = 330,510.38/x
  3. Step 3: Cross multiply
    152,953.31x = 330,510.38 × 330,510.38
  4. Step 4: Simplify right side
    152,953.31x = 109,237,107,982.64
  5. Step 5: Solve for x
    x = 109,237,107,982.64/152,953.31
  6. Step 6: Final answer
    x = 714,185.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.