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Finding the Third Proportional to 64,444 and 145,342

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Solution

The third proportional to 64,444 and 145,342 is: 327,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,444 : 145,342 = 145,342 : x
  2. Step 2: Convert to fraction form
    64,444/145,342 = 145,342/x
  3. Step 3: Cross multiply
    64,444x = 145,342 × 145,342
  4. Step 4: Simplify right side
    64,444x = 21,124,296,964
  5. Step 5: Solve for x
    x = 21,124,296,964/64,444
  6. Step 6: Final answer
    x = 327,793.08

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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.