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Finding the Third Proportional to 101,225.95 and 234,343.76

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Solution

The third proportional to 101,225.95 and 234,343.76 is: 542,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,225.95 : 234,343.76 = 234,343.76 : x
  2. Step 2: Convert to fraction form
    101,225.95/234,343.76 = 234,343.76/x
  3. Step 3: Cross multiply
    101,225.95x = 234,343.76 × 234,343.76
  4. Step 4: Simplify right side
    101,225.95x = 54,916,996,825.68
  5. Step 5: Solve for x
    x = 54,916,996,825.68/101,225.95
  6. Step 6: Final answer
    x = 542,518.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.