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Finding the Third Proportional to 70,402.50 and 152,838

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Solution

The third proportional to 70,402.50 and 152,838 is: 331,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.50 : 152,838 = 152,838 : x
  2. Step 2: Convert to fraction form
    70,402.50/152,838 = 152,838/x
  3. Step 3: Cross multiply
    70,402.50x = 152,838 × 152,838
  4. Step 4: Simplify right side
    70,402.50x = 23,359,454,244
  5. Step 5: Solve for x
    x = 23,359,454,244/70,402.50
  6. Step 6: Final answer
    x = 331,798.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.