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Finding the Third Proportional to 147,451.50 and 319,869

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Solution

The third proportional to 147,451.50 and 319,869 is: 693,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,451.50 : 319,869 = 319,869 : x
  2. Step 2: Convert to fraction form
    147,451.50/319,869 = 319,869/x
  3. Step 3: Cross multiply
    147,451.50x = 319,869 × 319,869
  4. Step 4: Simplify right side
    147,451.50x = 102,316,177,161
  5. Step 5: Solve for x
    x = 102,316,177,161/147,451.50
  6. Step 6: Final answer
    x = 693,897.16

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Why These Related Problems?

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