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Finding the Third Proportional to 231,025.50 and 354,888

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Solution

The third proportional to 231,025.50 and 354,888 is: 545,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,025.50 : 354,888 = 354,888 : x
  2. Step 2: Convert to fraction form
    231,025.50/354,888 = 354,888/x
  3. Step 3: Cross multiply
    231,025.50x = 354,888 × 354,888
  4. Step 4: Simplify right side
    231,025.50x = 125,945,492,544
  5. Step 5: Solve for x
    x = 125,945,492,544/231,025.50
  6. Step 6: Final answer
    x = 545,158.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.