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Finding the Third Proportional to 118,549 and 181,783

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Solution

The third proportional to 118,549 and 181,783 is: 278,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,549 : 181,783 = 181,783 : x
  2. Step 2: Convert to fraction form
    118,549/181,783 = 181,783/x
  3. Step 3: Cross multiply
    118,549x = 181,783 × 181,783
  4. Step 4: Simplify right side
    118,549x = 33,045,059,089
  5. Step 5: Solve for x
    x = 33,045,059,089/118,549
  6. Step 6: Final answer
    x = 278,746.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.