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Finding the Third Proportional to 152,730 and 327,348

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Solution

The third proportional to 152,730 and 327,348 is: 701,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,730 : 327,348 = 327,348 : x
  2. Step 2: Convert to fraction form
    152,730/327,348 = 327,348/x
  3. Step 3: Cross multiply
    152,730x = 327,348 × 327,348
  4. Step 4: Simplify right side
    152,730x = 107,156,713,104
  5. Step 5: Solve for x
    x = 107,156,713,104/152,730
  6. Step 6: Final answer
    x = 701,608.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.