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Finding the Third Proportional to 150,029 and 232,232

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Solution

The third proportional to 150,029 and 232,232 is: 359,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,029 : 232,232 = 232,232 : x
  2. Step 2: Convert to fraction form
    150,029/232,232 = 232,232/x
  3. Step 3: Cross multiply
    150,029x = 232,232 × 232,232
  4. Step 4: Simplify right side
    150,029x = 53,931,701,824
  5. Step 5: Solve for x
    x = 53,931,701,824/150,029
  6. Step 6: Final answer
    x = 359,475.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.