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Finding the Third Proportional to 238,850 and 360,963

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Solution

The third proportional to 238,850 and 360,963 is: 545,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,850 : 360,963 = 360,963 : x
  2. Step 2: Convert to fraction form
    238,850/360,963 = 360,963/x
  3. Step 3: Cross multiply
    238,850x = 360,963 × 360,963
  4. Step 4: Simplify right side
    238,850x = 130,294,287,369
  5. Step 5: Solve for x
    x = 130,294,287,369/238,850
  6. Step 6: Final answer
    x = 545,506.75

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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.