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Finding the Third Proportional to 238,853 and 360,968

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Solution

The third proportional to 238,853 and 360,968 is: 545,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,853 : 360,968 = 360,968 : x
  2. Step 2: Convert to fraction form
    238,853/360,968 = 360,968/x
  3. Step 3: Cross multiply
    238,853x = 360,968 × 360,968
  4. Step 4: Simplify right side
    238,853x = 130,297,897,024
  5. Step 5: Solve for x
    x = 130,297,897,024/238,853
  6. Step 6: Final answer
    x = 545,515.01

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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.