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Finding the Third Proportional to 102,349.50 and 150,598.50

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Solution

The third proportional to 102,349.50 and 150,598.50 is: 221,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349.50 : 150,598.50 = 150,598.50 : x
  2. Step 2: Convert to fraction form
    102,349.50/150,598.50 = 150,598.50/x
  3. Step 3: Cross multiply
    102,349.50x = 150,598.50 × 150,598.50
  4. Step 4: Simplify right side
    102,349.50x = 22,679,908,202.25
  5. Step 5: Solve for x
    x = 22,679,908,202.25/102,349.50
  6. Step 6: Final answer
    x = 221,592.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.