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Finding the Third Proportional to 175,545.50 and 264,871.50

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Solution

The third proportional to 175,545.50 and 264,871.50 is: 399,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,545.50 : 264,871.50 = 264,871.50 : x
  2. Step 2: Convert to fraction form
    175,545.50/264,871.50 = 264,871.50/x
  3. Step 3: Cross multiply
    175,545.50x = 264,871.50 × 264,871.50
  4. Step 4: Simplify right side
    175,545.50x = 70,156,911,512.25
  5. Step 5: Solve for x
    x = 70,156,911,512.25/175,545.50
  6. Step 6: Final answer
    x = 399,650.87

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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.