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Finding the Third Proportional to 147,617 and 234,999.50

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Solution

The third proportional to 147,617 and 234,999.50 is: 374,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,617 : 234,999.50 = 234,999.50 : x
  2. Step 2: Convert to fraction form
    147,617/234,999.50 = 234,999.50/x
  3. Step 3: Cross multiply
    147,617x = 234,999.50 × 234,999.50
  4. Step 4: Simplify right side
    147,617x = 55,224,765,000.25
  5. Step 5: Solve for x
    x = 55,224,765,000.25/147,617
  6. Step 6: Final answer
    x = 374,108.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.