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Finding the Third Proportional to 142,511.63 and 200,440.13

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Solution

The third proportional to 142,511.63 and 200,440.13 is: 281,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,511.63 : 200,440.13 = 200,440.13 : x
  2. Step 2: Convert to fraction form
    142,511.63/200,440.13 = 200,440.13/x
  3. Step 3: Cross multiply
    142,511.63x = 200,440.13 × 200,440.13
  4. Step 4: Simplify right side
    142,511.63x = 40,176,243,710.02
  5. Step 5: Solve for x
    x = 40,176,243,710.02/142,511.63
  6. Step 6: Final answer
    x = 281,915.55

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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.