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Finding the Third Proportional to 142,752 and 222,032

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Solution

The third proportional to 142,752 and 222,032 is: 345,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,752 : 222,032 = 222,032 : x
  2. Step 2: Convert to fraction form
    142,752/222,032 = 222,032/x
  3. Step 3: Cross multiply
    142,752x = 222,032 × 222,032
  4. Step 4: Simplify right side
    142,752x = 49,298,209,024
  5. Step 5: Solve for x
    x = 49,298,209,024/142,752
  6. Step 6: Final answer
    x = 345,341.63

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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.