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Finding the Third Proportional to 70,470 and 151,456.50

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Solution

The third proportional to 70,470 and 151,456.50 is: 325,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 151,456.50 = 151,456.50 : x
  2. Step 2: Convert to fraction form
    70,470/151,456.50 = 151,456.50/x
  3. Step 3: Cross multiply
    70,470x = 151,456.50 × 151,456.50
  4. Step 4: Simplify right side
    70,470x = 22,939,071,392.25
  5. Step 5: Solve for x
    x = 22,939,071,392.25/70,470
  6. Step 6: Final answer
    x = 325,515.42

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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.