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Finding the Third Proportional to 152,216 and 238,773

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Solution

The third proportional to 152,216 and 238,773 is: 374,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,216 : 238,773 = 238,773 : x
  2. Step 2: Convert to fraction form
    152,216/238,773 = 238,773/x
  3. Step 3: Cross multiply
    152,216x = 238,773 × 238,773
  4. Step 4: Simplify right side
    152,216x = 57,012,545,529
  5. Step 5: Solve for x
    x = 57,012,545,529/152,216
  6. Step 6: Final answer
    x = 374,550.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.