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Finding the Third Proportional to 227,461.50 and 346,700.25

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Solution

The third proportional to 227,461.50 and 346,700.25 is: 528,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,461.50 : 346,700.25 = 346,700.25 : x
  2. Step 2: Convert to fraction form
    227,461.50/346,700.25 = 346,700.25/x
  3. Step 3: Cross multiply
    227,461.50x = 346,700.25 × 346,700.25
  4. Step 4: Simplify right side
    227,461.50x = 120,201,063,350.06
  5. Step 5: Solve for x
    x = 120,201,063,350.06/227,461.50
  6. Step 6: Final answer
    x = 528,445.75

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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.