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Finding the Third Proportional to 237,614 and 314,083

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Solution

The third proportional to 237,614 and 314,083 is: 415,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,614 : 314,083 = 314,083 : x
  2. Step 2: Convert to fraction form
    237,614/314,083 = 314,083/x
  3. Step 3: Cross multiply
    237,614x = 314,083 × 314,083
  4. Step 4: Simplify right side
    237,614x = 98,648,130,889
  5. Step 5: Solve for x
    x = 98,648,130,889/237,614
  6. Step 6: Final answer
    x = 415,161.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.