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Finding the Third Proportional to 233,026.50 and 311,455.50

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Solution

The third proportional to 233,026.50 and 311,455.50 is: 416,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,026.50 : 311,455.50 = 311,455.50 : x
  2. Step 2: Convert to fraction form
    233,026.50/311,455.50 = 311,455.50/x
  3. Step 3: Cross multiply
    233,026.50x = 311,455.50 × 311,455.50
  4. Step 4: Simplify right side
    233,026.50x = 97,004,528,480.25
  5. Step 5: Solve for x
    x = 97,004,528,480.25/233,026.50
  6. Step 6: Final answer
    x = 416,281.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.