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Finding the Third Proportional to 152,148 and 222,588

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Solution

The third proportional to 152,148 and 222,588 is: 325,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,148 : 222,588 = 222,588 : x
  2. Step 2: Convert to fraction form
    152,148/222,588 = 222,588/x
  3. Step 3: Cross multiply
    152,148x = 222,588 × 222,588
  4. Step 4: Simplify right side
    152,148x = 49,545,417,744
  5. Step 5: Solve for x
    x = 49,545,417,744/152,148
  6. Step 6: Final answer
    x = 325,639.63

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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.