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Finding the Third Proportional to 152,232 and 216,372

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Solution

The third proportional to 152,232 and 216,372 is: 307,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,232 : 216,372 = 216,372 : x
  2. Step 2: Convert to fraction form
    152,232/216,372 = 216,372/x
  3. Step 3: Cross multiply
    152,232x = 216,372 × 216,372
  4. Step 4: Simplify right side
    152,232x = 46,816,842,384
  5. Step 5: Solve for x
    x = 46,816,842,384/152,232
  6. Step 6: Final answer
    x = 307,536.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.