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Finding the Third Proportional to 150,672 and 328,133

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Solution

The third proportional to 150,672 and 328,133 is: 714,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,672 : 328,133 = 328,133 : x
  2. Step 2: Convert to fraction form
    150,672/328,133 = 328,133/x
  3. Step 3: Cross multiply
    150,672x = 328,133 × 328,133
  4. Step 4: Simplify right side
    150,672x = 107,671,265,689
  5. Step 5: Solve for x
    x = 107,671,265,689/150,672
  6. Step 6: Final answer
    x = 714,607.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.