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Finding the Third Proportional to 173,707.50 and 275,283

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Solution

The third proportional to 173,707.50 and 275,283 is: 436,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,707.50 : 275,283 = 275,283 : x
  2. Step 2: Convert to fraction form
    173,707.50/275,283 = 275,283/x
  3. Step 3: Cross multiply
    173,707.50x = 275,283 × 275,283
  4. Step 4: Simplify right side
    173,707.50x = 75,780,730,089
  5. Step 5: Solve for x
    x = 75,780,730,089/173,707.50
  6. Step 6: Final answer
    x = 436,254.80

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