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Finding the Third Proportional to 142,491 and 222,363

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Solution

The third proportional to 142,491 and 222,363 is: 347,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,491 : 222,363 = 222,363 : x
  2. Step 2: Convert to fraction form
    142,491/222,363 = 222,363/x
  3. Step 3: Cross multiply
    142,491x = 222,363 × 222,363
  4. Step 4: Simplify right side
    142,491x = 49,445,303,769
  5. Step 5: Solve for x
    x = 49,445,303,769/142,491
  6. Step 6: Final answer
    x = 347,006.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.