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Finding the Third Proportional to 173,712 and 275,289.75

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Solution

The third proportional to 173,712 and 275,289.75 is: 436,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,712 : 275,289.75 = 275,289.75 : x
  2. Step 2: Convert to fraction form
    173,712/275,289.75 = 275,289.75/x
  3. Step 3: Cross multiply
    173,712x = 275,289.75 × 275,289.75
  4. Step 4: Simplify right side
    173,712x = 75,784,446,455.06
  5. Step 5: Solve for x
    x = 75,784,446,455.06/173,712
  6. Step 6: Final answer
    x = 436,264.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.