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Finding the Third Proportional to 150,465.50 and 228,653.50

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Solution

The third proportional to 150,465.50 and 228,653.50 is: 347,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465.50 : 228,653.50 = 228,653.50 : x
  2. Step 2: Convert to fraction form
    150,465.50/228,653.50 = 228,653.50/x
  3. Step 3: Cross multiply
    150,465.50x = 228,653.50 × 228,653.50
  4. Step 4: Simplify right side
    150,465.50x = 52,282,423,062.25
  5. Step 5: Solve for x
    x = 52,282,423,062.25/150,465.50
  6. Step 6: Final answer
    x = 347,471.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.