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Finding the Third Proportional to 152,220 and 327,117

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Solution

The third proportional to 152,220 and 327,117 is: 702,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,220 : 327,117 = 327,117 : x
  2. Step 2: Convert to fraction form
    152,220/327,117 = 327,117/x
  3. Step 3: Cross multiply
    152,220x = 327,117 × 327,117
  4. Step 4: Simplify right side
    152,220x = 107,005,531,689
  5. Step 5: Solve for x
    x = 107,005,531,689/152,220
  6. Step 6: Final answer
    x = 702,966.31

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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.