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Finding the Third Proportional to 64,445 and 145,344.50

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Solution

The third proportional to 64,445 and 145,344.50 is: 327,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,445 : 145,344.50 = 145,344.50 : x
  2. Step 2: Convert to fraction form
    64,445/145,344.50 = 145,344.50/x
  3. Step 3: Cross multiply
    64,445x = 145,344.50 × 145,344.50
  4. Step 4: Simplify right side
    64,445x = 21,125,023,680.25
  5. Step 5: Solve for x
    x = 21,125,023,680.25/64,445
  6. Step 6: Final answer
    x = 327,799.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.