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Finding the Third Proportional to 161,541 and 251,536.50

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Solution

The third proportional to 161,541 and 251,536.50 is: 391,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,541 : 251,536.50 = 251,536.50 : x
  2. Step 2: Convert to fraction form
    161,541/251,536.50 = 251,536.50/x
  3. Step 3: Cross multiply
    161,541x = 251,536.50 × 251,536.50
  4. Step 4: Simplify right side
    161,541x = 63,270,610,832.25
  5. Step 5: Solve for x
    x = 63,270,610,832.25/161,541
  6. Step 6: Final answer
    x = 391,669.06

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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.