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Finding the Third Proportional to 70,496.50 and 152,609

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Solution

The third proportional to 70,496.50 and 152,609 is: 330,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,496.50 : 152,609 = 152,609 : x
  2. Step 2: Convert to fraction form
    70,496.50/152,609 = 152,609/x
  3. Step 3: Cross multiply
    70,496.50x = 152,609 × 152,609
  4. Step 4: Simplify right side
    70,496.50x = 23,289,506,881
  5. Step 5: Solve for x
    x = 23,289,506,881/70,496.50
  6. Step 6: Final answer
    x = 330,364.02

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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.