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Finding the Third Proportional to 142,490 and 222,362

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Solution

The third proportional to 142,490 and 222,362 is: 347,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,490 : 222,362 = 222,362 : x
  2. Step 2: Convert to fraction form
    142,490/222,362 = 222,362/x
  3. Step 3: Cross multiply
    142,490x = 222,362 × 222,362
  4. Step 4: Simplify right side
    142,490x = 49,444,859,044
  5. Step 5: Solve for x
    x = 49,444,859,044/142,490
  6. Step 6: Final answer
    x = 347,005.82

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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.