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Finding the Third Proportional to 248,642 and 375,032

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Solution

The third proportional to 248,642 and 375,032 is: 565,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,642 : 375,032 = 375,032 : x
  2. Step 2: Convert to fraction form
    248,642/375,032 = 375,032/x
  3. Step 3: Cross multiply
    248,642x = 375,032 × 375,032
  4. Step 4: Simplify right side
    248,642x = 140,649,001,024
  5. Step 5: Solve for x
    x = 140,649,001,024/248,642
  6. Step 6: Final answer
    x = 565,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.