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Finding the Third Proportional to 175,510.13 and 264,844.69

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Solution

The third proportional to 175,510.13 and 264,844.69 is: 399,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.13 : 264,844.69 = 264,844.69 : x
  2. Step 2: Convert to fraction form
    175,510.13/264,844.69 = 264,844.69/x
  3. Step 3: Cross multiply
    175,510.13x = 264,844.69 × 264,844.69
  4. Step 4: Simplify right side
    175,510.13x = 70,142,708,496.97
  5. Step 5: Solve for x
    x = 70,142,708,496.97/175,510.13
  6. Step 6: Final answer
    x = 399,650.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.