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Finding the Third Proportional to 146,088.75 and 228,364.88

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Solution

The third proportional to 146,088.75 and 228,364.88 is: 356,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,088.75 : 228,364.88 = 228,364.88 : x
  2. Step 2: Convert to fraction form
    146,088.75/228,364.88 = 228,364.88/x
  3. Step 3: Cross multiply
    146,088.75x = 228,364.88 × 228,364.88
  4. Step 4: Simplify right side
    146,088.75x = 52,150,516,133.77
  5. Step 5: Solve for x
    x = 52,150,516,133.77/146,088.75
  6. Step 6: Final answer
    x = 356,978.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.