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Finding the Third Proportional to 140,570 and 224,823

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Solution

The third proportional to 140,570 and 224,823 is: 359,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570 : 224,823 = 224,823 : x
  2. Step 2: Convert to fraction form
    140,570/224,823 = 224,823/x
  3. Step 3: Cross multiply
    140,570x = 224,823 × 224,823
  4. Step 4: Simplify right side
    140,570x = 50,545,381,329
  5. Step 5: Solve for x
    x = 50,545,381,329/140,570
  6. Step 6: Final answer
    x = 359,574.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.