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Finding the Third Proportional to 152,681 and 327,970

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Solution

The third proportional to 152,681 and 327,970 is: 704,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,681 : 327,970 = 327,970 : x
  2. Step 2: Convert to fraction form
    152,681/327,970 = 327,970/x
  3. Step 3: Cross multiply
    152,681x = 327,970 × 327,970
  4. Step 4: Simplify right side
    152,681x = 107,564,320,900
  5. Step 5: Solve for x
    x = 107,564,320,900/152,681
  6. Step 6: Final answer
    x = 704,503.64

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