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Finding the Third Proportional to 119,971.50 and 277,740.75

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Solution

The third proportional to 119,971.50 and 277,740.75 is: 642,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,971.50 : 277,740.75 = 277,740.75 : x
  2. Step 2: Convert to fraction form
    119,971.50/277,740.75 = 277,740.75/x
  3. Step 3: Cross multiply
    119,971.50x = 277,740.75 × 277,740.75
  4. Step 4: Simplify right side
    119,971.50x = 77,139,924,210.56
  5. Step 5: Solve for x
    x = 77,139,924,210.56/119,971.50
  6. Step 6: Final answer
    x = 642,985.41

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.