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Finding the Third Proportional to 148,024.50 and 325,575

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Solution

The third proportional to 148,024.50 and 325,575 is: 716,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,024.50 : 325,575 = 325,575 : x
  2. Step 2: Convert to fraction form
    148,024.50/325,575 = 325,575/x
  3. Step 3: Cross multiply
    148,024.50x = 325,575 × 325,575
  4. Step 4: Simplify right side
    148,024.50x = 105,999,080,625
  5. Step 5: Solve for x
    x = 105,999,080,625/148,024.50
  6. Step 6: Final answer
    x = 716,091.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.