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Finding the Third Proportional to 119,984.63 and 277,767.56

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Solution

The third proportional to 119,984.63 and 277,767.56 is: 643,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,984.63 : 277,767.56 = 277,767.56 : x
  2. Step 2: Convert to fraction form
    119,984.63/277,767.56 = 277,767.56/x
  3. Step 3: Cross multiply
    119,984.63x = 277,767.56 × 277,767.56
  4. Step 4: Simplify right side
    119,984.63x = 77,154,818,777.19
  5. Step 5: Solve for x
    x = 77,154,818,777.19/119,984.63
  6. Step 6: Final answer
    x = 643,039.21

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Why These Related Problems?

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