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Finding the Third Proportional to 238,251.75 and 370,445.63

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Solution

The third proportional to 238,251.75 and 370,445.63 is: 575,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,251.75 : 370,445.63 = 370,445.63 : x
  2. Step 2: Convert to fraction form
    238,251.75/370,445.63 = 370,445.63/x
  3. Step 3: Cross multiply
    238,251.75x = 370,445.63 × 370,445.63
  4. Step 4: Simplify right side
    238,251.75x = 137,229,961,081.64
  5. Step 5: Solve for x
    x = 137,229,961,081.64/238,251.75
  6. Step 6: Final answer
    x = 575,987.21

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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.