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Finding the Third Proportional to 138,032.50 and 295,748.50

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Solution

The third proportional to 138,032.50 and 295,748.50 is: 633,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,032.50 : 295,748.50 = 295,748.50 : x
  2. Step 2: Convert to fraction form
    138,032.50/295,748.50 = 295,748.50/x
  3. Step 3: Cross multiply
    138,032.50x = 295,748.50 × 295,748.50
  4. Step 4: Simplify right side
    138,032.50x = 87,467,175,252.25
  5. Step 5: Solve for x
    x = 87,467,175,252.25/138,032.50
  6. Step 6: Final answer
    x = 633,670.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.