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Finding the Third Proportional to 165,875.34 and 250,187.48

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Solution

The third proportional to 165,875.34 and 250,187.48 is: 377,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,875.34 : 250,187.48 = 250,187.48 : x
  2. Step 2: Convert to fraction form
    165,875.34/250,187.48 = 250,187.48/x
  3. Step 3: Cross multiply
    165,875.34x = 250,187.48 × 250,187.48
  4. Step 4: Simplify right side
    165,875.34x = 62,593,777,337.89
  5. Step 5: Solve for x
    x = 62,593,777,337.89/165,875.34
  6. Step 6: Final answer
    x = 377,354.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.