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Finding the Third Proportional to 153,336 and 238,014

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Solution

The third proportional to 153,336 and 238,014 is: 369,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,336 : 238,014 = 238,014 : x
  2. Step 2: Convert to fraction form
    153,336/238,014 = 238,014/x
  3. Step 3: Cross multiply
    153,336x = 238,014 × 238,014
  4. Step 4: Simplify right side
    153,336x = 56,650,664,196
  5. Step 5: Solve for x
    x = 56,650,664,196/153,336
  6. Step 6: Final answer
    x = 369,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.