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Finding the Third Proportional to 238,335.75 and 371,567.25

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Solution

The third proportional to 238,335.75 and 371,567.25 is: 579,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,335.75 : 371,567.25 = 371,567.25 : x
  2. Step 2: Convert to fraction form
    238,335.75/371,567.25 = 371,567.25/x
  3. Step 3: Cross multiply
    238,335.75x = 371,567.25 × 371,567.25
  4. Step 4: Simplify right side
    238,335.75x = 138,062,221,272.56
  5. Step 5: Solve for x
    x = 138,062,221,272.56/238,335.75
  6. Step 6: Final answer
    x = 579,276.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.