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Finding the Third Proportional to 142,492 and 222,364

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Solution

The third proportional to 142,492 and 222,364 is: 347,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492 : 222,364 = 222,364 : x
  2. Step 2: Convert to fraction form
    142,492/222,364 = 222,364/x
  3. Step 3: Cross multiply
    142,492x = 222,364 × 222,364
  4. Step 4: Simplify right side
    142,492x = 49,445,748,496
  5. Step 5: Solve for x
    x = 49,445,748,496/142,492
  6. Step 6: Final answer
    x = 347,007.19

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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.