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Finding the Third Proportional to 142,304 and 200,220

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Solution

The third proportional to 142,304 and 200,220 is: 281,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,304 : 200,220 = 200,220 : x
  2. Step 2: Convert to fraction form
    142,304/200,220 = 200,220/x
  3. Step 3: Cross multiply
    142,304x = 200,220 × 200,220
  4. Step 4: Simplify right side
    142,304x = 40,088,048,400
  5. Step 5: Solve for x
    x = 40,088,048,400/142,304
  6. Step 6: Final answer
    x = 281,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.