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Finding the Third Proportional to 70,497 and 152,610

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Solution

The third proportional to 70,497 and 152,610 is: 330,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497 : 152,610 = 152,610 : x
  2. Step 2: Convert to fraction form
    70,497/152,610 = 152,610/x
  3. Step 3: Cross multiply
    70,497x = 152,610 × 152,610
  4. Step 4: Simplify right side
    70,497x = 23,289,812,100
  5. Step 5: Solve for x
    x = 23,289,812,100/70,497
  6. Step 6: Final answer
    x = 330,366.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.