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Finding the Third Proportional to 140,572 and 224,829

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Solution

The third proportional to 140,572 and 224,829 is: 359,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,572 : 224,829 = 224,829 : x
  2. Step 2: Convert to fraction form
    140,572/224,829 = 224,829/x
  3. Step 3: Cross multiply
    140,572x = 224,829 × 224,829
  4. Step 4: Simplify right side
    140,572x = 50,548,079,241
  5. Step 5: Solve for x
    x = 50,548,079,241/140,572
  6. Step 6: Final answer
    x = 359,588.53

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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.