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Finding the Third Proportional to 152,688 and 327,948

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Solution

The third proportional to 152,688 and 327,948 is: 704,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,688 : 327,948 = 327,948 : x
  2. Step 2: Convert to fraction form
    152,688/327,948 = 327,948/x
  3. Step 3: Cross multiply
    152,688x = 327,948 × 327,948
  4. Step 4: Simplify right side
    152,688x = 107,549,890,704
  5. Step 5: Solve for x
    x = 107,549,890,704/152,688
  6. Step 6: Final answer
    x = 704,376.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.