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Finding the Third Proportional to 175,521.94 and 250,998.75

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Solution

The third proportional to 175,521.94 and 250,998.75 is: 358,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,521.94 : 250,998.75 = 250,998.75 : x
  2. Step 2: Convert to fraction form
    175,521.94/250,998.75 = 250,998.75/x
  3. Step 3: Cross multiply
    175,521.94x = 250,998.75 × 250,998.75
  4. Step 4: Simplify right side
    175,521.94x = 63,000,372,501.56
  5. Step 5: Solve for x
    x = 63,000,372,501.56/175,521.94
  6. Step 6: Final answer
    x = 358,931.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.