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Finding the Third Proportional to 152,672 and 330,760

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Solution

The third proportional to 152,672 and 330,760 is: 716,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,672 : 330,760 = 330,760 : x
  2. Step 2: Convert to fraction form
    152,672/330,760 = 330,760/x
  3. Step 3: Cross multiply
    152,672x = 330,760 × 330,760
  4. Step 4: Simplify right side
    152,672x = 109,402,177,600
  5. Step 5: Solve for x
    x = 109,402,177,600/152,672
  6. Step 6: Final answer
    x = 716,583.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.