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Finding the Third Proportional to 152,142 and 222,579

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Solution

The third proportional to 152,142 and 222,579 is: 325,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,142 : 222,579 = 222,579 : x
  2. Step 2: Convert to fraction form
    152,142/222,579 = 222,579/x
  3. Step 3: Cross multiply
    152,142x = 222,579 × 222,579
  4. Step 4: Simplify right side
    152,142x = 49,541,411,241
  5. Step 5: Solve for x
    x = 49,541,411,241/152,142
  6. Step 6: Final answer
    x = 325,626.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.